102212102000020 has 48 divisors (see below), whose sum is σ = 222048099559440. Its totient is φ = 39474819707904.

The previous prime is 102212102000003. The next prime is 102212102000059. The reversal of 102212102000020 is 20000201212201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10285387783056 + 91926714216964 = 3207084^2 + 9587842^2 .

It is a congruent number.

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, 173135182 + ... + 173724538.

It is an arithmetic number, because the mean of its divisors is an integer number (4626002074155).

Almost surely, 2^{102212102000020} is an apocalyptic number.

102212102000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212102000020 is an abundant number, since it is smaller than the sum of its proper divisors (119835997559420).

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

102212102000020 is a wasteful number, since it uses less digits than its factorization.

102212102000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888412 (or 888410 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102212102000020 its reverse (20000201212201), we get a palindrome (122212303212221).

The spelling of 102212102000020 in words is "one hundred two trillion, two hundred twelve billion, one hundred two million, twenty", and thus it is an aban number.