102122211021120 has 168 divisors, whose sum is σ = 351262478230560. Its totient is φ = 27232231173120.

The previous prime is 102122211021113. The next prime is 102122211021133. The reversal of 102122211021120 is 21120112221201.

102122211021120 is a `hidden beast` number, since 1 + 0 + 212 + 221 + 1 + 0 + 211 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102122211021093 and 102122211021102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274943691 + ... + 275314869.

Almost surely, 2^{102122211021120} is an apocalyptic number.

102122211021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122211021120 is an abundant number, since it is smaller than the sum of its proper divisors (249140267209440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102122211021120 is a wasteful number, since it uses less digits than its factorization.

102122211021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466733 (or 466720 counting only the distinct ones).

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

Adding to 102122211021120 its reverse (21120112221201), we get a palindrome (123242323242321).

The spelling of 102122211021120 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred eleven million, twenty-one thousand, one hundred twenty".