102210110221122 has 12 divisors (see below), whose sum is σ = 221455238812470. Its totient is φ = 34070036740368.

The previous prime is 102210110221069. The next prime is 102210110221133. The reversal of 102210110221122 is 221122011012201.

102210110221122 is a `hidden beast` number, since 1 + 0 + 2 + 210 + 110 + 221 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94906544516001 + 7303565705121 = 9741999^2 + 2702511^2 .

It is a super-3 number, since 3×102210110221122³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5678339456729 = 102210110221122 / (1 + 0 + 2 + 2 + 1 + 0 + 1 + 1 + 0 + 2 + 2 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 102210110221095 and 102210110221104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2839169728347 + ... + 2839169728382.

Almost surely, 2^{102210110221122} is an apocalyptic number.

102210110221122 is an abundant number, since it is smaller than the sum of its proper divisors (119245128591348).

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

102210110221122 is a wasteful number, since it uses less digits than its factorization.

102210110221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678339456737 (or 5678339456734 counting only the distinct ones).

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

Adding to 102210110221122 its reverse (221122011012201), we get a palindrome (323332121233323).

The spelling of 102210110221122 in words is "one hundred two trillion, two hundred ten billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty-two".