102222212210120 has 16 divisors (see below), whose sum is σ = 229999977472860. Its totient is φ = 40888884884032.

The previous prime is 102222212210113. The next prime is 102222212210149. The reversal of 102222212210120 is 21012212222201.

It can be written as a sum of positive squares in 2 ways, for example, as 96354994659364 + 5867217550756 = 9816058^2 + 2422234^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102222212210092 and 102222212210101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1277777652587 + ... + 1277777652666.

Almost surely, 2^{102222212210120} is an apocalyptic number.

102222212210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222212210120 is an abundant number, since it is smaller than the sum of its proper divisors (127777765262740).

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

102222212210120 is a wasteful number, since it uses less digits than its factorization.

102222212210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555555305264 (or 2555555305260 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102222212210120 its reverse (21012212222201), we get a palindrome (123234424432321).

The spelling of 102222212210120 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twelve million, two hundred ten thousand, one hundred twenty".