10102120102212 has 24 divisors (see below), whose sum is σ = 23572080840000. Its totient is φ = 3367306614816.

The previous prime is 10102120102187. The next prime is 10102120102223. The reversal of 10102120102212 is 21220102120101.

It is a junction number, because it is equal to n+sod(n) for n = 10102120102191 and 10102120102200.

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, 7711587 + ... + 8925962.

It is an arithmetic number, because the mean of its divisors is an integer number (982170035000).

Almost surely, 2^{10102120102212} is an apocalyptic number.

10102120102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102120102212 is an abundant number, since it is smaller than the sum of its proper divisors (13469960737788).

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

10102120102212 is a wasteful number, since it uses less digits than its factorization.

10102120102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16688155 (or 16688153 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10102120102212 its reverse (21220102120101), we get a palindrome (31322222222313).

The spelling of 10102120102212 in words is "ten trillion, one hundred two billion, one hundred twenty million, one hundred two thousand, two hundred twelve".