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100222101021 = 37371032714621
BaseRepresentation
bin101110101010110110…
…0111110011000011101
3100120200122120020120110
41131111230332120131
53120223324213041
6114012535240233
710145411542230
oct1352554763035
9316618506513
10100222101021
113955a843969
1217510219079
1395b2834573
144bca757417
1529189ac516
hex1755b3e61d

100222101021 has 64 divisors (see below), whose sum is σ = 158988517376. Its totient is φ = 54965433600.

The previous prime is 100222101011. The next prime is 100222101041. The reversal of 100222101021 is 120101222001.

It is not a de Polignac number, because 100222101021 - 27 = 100222100893 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100222100988 and 100222101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222101011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21686091 + ... + 21690711.

It is an arithmetic number, because the mean of its divisors is an integer number (2484195584).

Almost surely, 2100222101021 is an apocalyptic number.

It is an amenable number.

100222101021 is a deficient number, since it is larger than the sum of its proper divisors (58766416355).

100222101021 is a wasteful number, since it uses less digits than its factorization.

100222101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042.

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

Adding to 100222101021 its reverse (120101222001), we get a palindrome (220323323022).

The spelling of 100222101021 in words is "one hundred billion, two hundred twenty-two million, one hundred one thousand, twenty-one".

Divisors: 1 3 7 21 37 103 111 259 271 309 721 777 813 1897 2163 3811 4621 5691 10027 11433 13863 26677 27913 30081 32347 70189 80031 83739 97041 170977 195391 210567 475963 512931 586173 1032781 1196839 1252291 1427889 3098343 3331741 3590517 3756873 7229467 8766037 9995223 17610631 21688401 26298111 46334767 52831893 123274417 128985973 139004301 324343369 369823251 386957919 902901811 973030107 2708705433 4772481001 14317443003 33407367007 100222101021