102212121102000 has 320 divisors, whose sum is σ = 405577698699264. Its totient is φ = 21565634227200.

The previous prime is 102212121101953. The next prime is 102212121102031. The reversal of 102212121102000 is 201121212201.

102212121102000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93054844 + ... + 94146843.

Almost surely, 2^{102212121102000} is an apocalyptic number.

102212121102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212121102000 is an abundant number, since it is smaller than the sum of its proper divisors (303365577597264).

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

102212121102000 is a wasteful number, since it uses less digits than its factorization.

102212121102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187201733 (or 187201717 counting only the distinct ones).

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

Adding to 102212121102000 its reverse (201121212201), we get a palindrome (102413242314201).

The spelling of 102212121102000 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-one million, one hundred two thousand".