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102221112102021 = 32117319497257227
BaseRepresentation
bin10111001111100000110101…
…000100110100110010000101
3111101221020120001120222011200
4113033200311010310302011
5101344242314144231041
61001223421451253113
730350142310410213
oct2717406504646205
9441836501528150
10102221112102021
112a630803978960
12b56b17774a199
134506542901333
141b35757637cb3
15bc40144141b6
hex5cf835134c85

102221112102021 has 48 divisors (see below), whose sum is σ = 163366008062400. Its totient is φ = 61072169391360.

The previous prime is 102221112101989. The next prime is 102221112102061. The reversal of 102221112102021 is 120201211122201.

It is not a de Polignac number, because 102221112102021 - 25 = 102221112101989 is a prime.

It is a super-2 number, since 2×1022211121020212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102221112101985 and 102221112102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221112102061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10456810 + ... + 17714036.

It is an arithmetic number, because the mean of its divisors is an integer number (3403458501300).

Almost surely, 2102221112102021 is an apocalyptic number.

102221112102021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102221112102021 is a deficient number, since it is larger than the sum of its proper divisors (61144895960379).

102221112102021 is a wasteful number, since it uses less digits than its factorization.

102221112102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7259266 (or 7259263 counting only the distinct ones).

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

Adding to 102221112102021 its reverse (120201211122201), we get a palindrome (222422323224222).

The spelling of 102221112102021 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twelve million, one hundred two thousand, twenty-one".

Divisors: 1 3 9 11 33 73 99 219 657 803 1949 2409 5847 7227 17541 21439 64317 142277 192951 426831 1280493 1565047 4695141 7257227 14085423 21771681 65315043 79829497 239488491 529777571 718465473 1589332713 4767998139 5827553281 14144335423 17482659843 42433006269 52447979529 127299018807 155587689653 466763068959 1032536485879 1400289206877 3097609457637 9292828372911 11357901344669 34073704034007 102221112102021