102212211202122 has 64 divisors (see below), whose sum is σ = 237648821068800. Its totient is φ = 28701129841920.

The previous prime is 102212211202097. The next prime is 102212211202141. The reversal of 102212211202122 is 221202112212201.

It is a super-2 number, since 2×102212211202122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4333797 + ... + 14940087.

It is an arithmetic number, because the mean of its divisors is an integer number (3713262829200).

Almost surely, 2^{102212211202122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212211202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118824410534400).

102212211202122 is an abundant number, since it is smaller than the sum of its proper divisors (135436609866678).

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

102212211202122 is a wasteful number, since it uses less digits than its factorization.

102212211202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10610251.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102212211202122 its reverse (221202112212201), we get a palindrome (323414323414323).

The spelling of 102212211202122 in words is "one hundred two trillion, two hundred twelve billion, two hundred eleven million, two hundred two thousand, one hundred twenty-two".