102220122120120 has 96 divisors (see below), whose sum is σ = 335640298003920. Its totient is φ = 26977681704960.

The previous prime is 102220122120101. The next prime is 102220122120167. The reversal of 102220122120120 is 21021221022201.

It is a happy number.

102220122120120 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 1 + 221 + 201 + 20 = 666.

It is a super-2 number, since 2×102220122120120² (a number of 29 digits) contains 22 as substring.

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 = 102220122120093 and 102220122120102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1463597986 + ... + 1463667825.

Almost surely, 2^{102220122120120} is an apocalyptic number.

102220122120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220122120120 is an abundant number, since it is smaller than the sum of its proper divisors (233420175883800).

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

102220122120120 is a wasteful number, since it uses less digits than its factorization.

102220122120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927265925 (or 2927265918 counting only the distinct ones).

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

Adding to 102220122120120 its reverse (21021221022201), we get a palindrome (123241343142321).

The spelling of 102220122120120 in words is "one hundred two trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty".