212102102120 has 64 divisors (see below), whose sum is σ = 479709060480. Its totient is φ = 84401047296.

The previous prime is 212102102117. The next prime is 212102102141. The reversal of 212102102120 is 21201201212.

It is a junction number, because it is equal to n+sod(n) for n = 212102102095 and 212102102104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7153967 + ... + 7183553.

It is an arithmetic number, because the mean of its divisors is an integer number (7495454070).

Almost surely, 2^212102102120 is an apocalyptic number.

212102102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102102120 is an abundant number, since it is smaller than the sum of its proper divisors (267606958360).

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

212102102120 is a wasteful number, since it uses less digits than its factorization.

212102102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30522 (or 30518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212102102120 its reverse (21201201212), we get a palindrome (233303303332).

The spelling of 212102102120 in words is "two hundred twelve billion, one hundred two million, one hundred two thousand, one hundred twenty".