102212102201120 has 48 divisors (see below), whose sum is σ = 241516835396928. Its totient is φ = 40877942434560.

The previous prime is 102212102201089. The next prime is 102212102201137. The reversal of 102212102201120 is 21102201212201.

102212102201120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52942826 + ... + 54839465.

It is an arithmetic number, because the mean of its divisors is an integer number (5031600737436).

Almost surely, 2^{102212102201120} is an apocalyptic number.

102212102201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212102201120 is an abundant number, since it is smaller than the sum of its proper divisors (139304733195808).

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

102212102201120 is a wasteful number, since it uses less digits than its factorization.

102212102201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107788233 (or 107788225 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102212102201120 its reverse (21102201212201), we get a palindrome (123314303413321).

The spelling of 102212102201120 in words is "one hundred two trillion, two hundred twelve billion, one hundred two million, two hundred one thousand, one hundred twenty".