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21112102022121 = 3411222723394057
BaseRepresentation
bin1001100110011100010110…
…10101110110101111101001
32202202022000200121200210000
410303032023111312233221
510231400041104201441
6112522433224013213
74306204366156515
oct463161325665751
982668020550700
1021112102022121
1167aa657222400
12244b800301209
13ba1b2a3c4836
1452db8cadd145
1526929300b2b6
hex13338b576be9

21112102022121 has 120 divisors (see below), whose sum is σ = 34841733806880. Its totient is φ = 12730261864320.

The previous prime is 21112102022119. The next prime is 21112102022159. The reversal of 21112102022121 is 12122020121112.

21112102022121 is a `hidden beast` number, since 211 + 1 + 210 + 2 + 0 + 221 + 21 = 666.

It is not a de Polignac number, because 21112102022121 - 21 = 21112102022119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21112102022094 and 21112102022103.

It is not an unprimeable number, because it can be changed into a prime (21112102092121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5203868325 + ... + 5203872381.

It is an arithmetic number, because the mean of its divisors is an integer number (290347781724).

Almost surely, 221112102022121 is an apocalyptic number.

It is an amenable number.

21112102022121 is a deficient number, since it is larger than the sum of its proper divisors (13729631784759).

21112102022121 is a wasteful number, since it uses less digits than its factorization.

21112102022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6657 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112102022121 its reverse (12122020121112), we get a palindrome (33234122143233).

The spelling of 21112102022121 in words is "twenty-one trillion, one hundred twelve billion, one hundred two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 227 297 363 681 891 1089 2043 2339 2497 3267 4057 6129 7017 7491 9801 12171 18387 21051 22473 25729 27467 36513 44627 63153 67419 77187 82401 109539 133881 189459 202257 231561 247203 283019 328617 401643 490897 530953 694683 741609 849057 920939 1204929 1472691 1592859 2084049 2224827 2547171 2762817 3614787 4418073 4778577 5840483 7641513 8288451 9489323 10130329 13254219 14335731 17521449 22924539 24865353 28467969 30390987 39762657 43007193 52564347 64245313 74596059 85403907 91172961 104382553 111433619 157693041 192735939 256211721 273518883 313147659 334300857 473079123 578207817 768635163 820556649 939442977 1002902571 1148208083 1734623451 2154076321 2818328931 3008707713 3444624249 5203870353 6462228963 8454986793 9026123139 10333872747 19386686889 23694839531 31001618241 58160060667 71084518593 93004854723 174480182001 213253555779 260643234841 639760667337 781929704523 1919282002011 2345789113569 7037367340707 21112102022121