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210100221000021 = 3111710115732597247
BaseRepresentation
bin101111110001010111000101…
…000010100011100101010101
31000112220101101122100121200110
4233301113011002203211111
5210014240223034000041
62022502413054233233
762153145223300422
oct5761270502434525
91015811348317613
10210100221000021
1160a430044a9010
121b6929b6ab5819
13903049a954781
1439c4c952a0d49
1519452c7823516
hexbf15c50a3955

210100221000021 has 128 divisors (see below), whose sum is σ = 329008248299520. Its totient is φ = 117848480256000.

The previous prime is 210100220999989. The next prime is 210100221000049. The reversal of 210100221000021 is 120000122001012.

210100221000021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210100221000021 - 25 = 210100220999989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 210100220999970 and 210100221000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100221000091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28991333620 + ... + 28991340866.

It is an arithmetic number, because the mean of its divisors is an integer number (2570376939840).

Almost surely, 2210100221000021 is an apocalyptic number.

It is an amenable number.

210100221000021 is a deficient number, since it is larger than the sum of its proper divisors (118908027299499).

210100221000021 is a wasteful number, since it uses less digits than its factorization.

210100221000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10795.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210100221000021 its reverse (120000122001012), we get a palindrome (330100343001033).

The spelling of 210100221000021 in words is "two hundred ten trillion, one hundred billion, two hundred twenty-one million, twenty-one", and thus it is an aban number.

Divisors: 1 3 11 17 33 51 101 157 187 303 471 561 1111 1717 1727 2669 3259 3333 5151 5181 7247 8007 9777 15857 18887 21741 29359 35849 47571 55403 56661 79717 88077 107547 123199 166209 174427 239151 269569 329159 369597 511663 523281 609433 731947 808707 987477 1137779 1355189 1534989 1828299 2195841 2965259 3413337 3620749 4065567 5595703 5628293 8051417 8698271 8895777 10862247 12443099 12515569 16787109 16884879 19342243 23617973 24154251 26094813 37329297 37546707 51677963 58026729 61552733 70853919 95680981 114915679 136874089 155033889 184658199 212764673 259797703 287042943 344747037 401505541 410622267 568457593 638294019 779393109 878525371 1204516623 1264072469 1705372779 1953566543 2385415273 2635576113 3708021761 3792217407 4416560951 5860699629 7156245819 9663779081 11124065283 13249682853 21489231973 26239568003 28991337243 40552059641 40788239371 63036369937 64467695919 78718704009 121656178923 122364718113 189109109811 374510197861 446072656051 693400069307 1123530593583 1338217968153 2080200207921 4119612176471 6366673363637 12358836529413 19100020090911 70033407000007 210100221000021