102212212011120 has 120 divisors (see below), whose sum is σ = 346661319300192. Its totient is φ = 26986722624000.

The previous prime is 102212212011113. The next prime is 102212212011197. The reversal of 102212212011120 is 21110212212201.

102212212011120 is a `hidden beast` number, since 1 + 0 + 221 + 221 + 201 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×102212212011120² (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 = 102212212011093 and 102212212011102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702706516 + ... + 702851955.

Almost surely, 2^{102212212011120} is an apocalyptic number.

102212212011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212212011120 is an abundant number, since it is smaller than the sum of its proper divisors (244449107289072).

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

102212212011120 is a wasteful number, since it uses less digits than its factorization.

102212212011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405558591 (or 1405558582 counting only the distinct ones).

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

Adding to 102212212011120 its reverse (21110212212201), we get a palindrome (123322424223321).

The spelling of 102212212011120 in words is "one hundred two trillion, two hundred twelve billion, two hundred twelve million, eleven thousand, one hundred twenty".