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102222122001021 = 321115133223205823
BaseRepresentation
bin10111001111100001110001…
…010001010010001001111101
3111101221100011102220011011100
4113033201301101102021331
5101344301401213013041
61001224110005043313
730350206322410161
oct2717416121221175
9441840142804140
10102222122001021
112a631181a42a30
12b56b3b99b6539
134506673bc60c9
141b35811800ca1
15bc4072ded6b6
hex5cf87145227d

102222122001021 has 48 divisors (see below), whose sum is σ = 162149688410112. Its totient is φ = 61540366356000.

The previous prime is 102222122001019. The next prime is 102222122001089. The reversal of 102222122001021 is 120100221222201.

It is a happy number.

102222122001021 is a `hidden beast` number, since 1 + 0 + 222 + 212 + 200 + 10 + 21 = 666.

It is not a de Polignac number, because 102222122001021 - 21 = 102222122001019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102222122000985 and 102222122001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222122001091) 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, 496547716 + ... + 496753538.

It is an arithmetic number, because the mean of its divisors is an integer number (3378118508544).

Almost surely, 2102222122001021 is an apocalyptic number.

102222122001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102222122001021 is a deficient number, since it is larger than the sum of its proper divisors (59927566409091).

102222122001021 is a wasteful number, since it uses less digits than its factorization.

102222122001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239214 (or 239211 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102222122001021 its reverse (120100221222201), we get a palindrome (222322343223222).

The spelling of 102222122001021 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty-two million, one thousand, twenty-one".

Divisors: 1 3 9 11 33 99 151 453 1359 1661 4983 14949 33223 99669 205823 299007 365453 617469 1096359 1852407 2264053 3289077 5016673 6792159 15050019 20376477 31079273 45150057 55183403 93237819 165550209 279713457 341872003 496650627 1025616009 3076848027 6838057529 20514172587 61542517761 75218632819 225655898457 676967695371 1032546686879 3097640060637 9292920181911 11358013555669 34074040667007 102222122001021