10102000212120 has 64 divisors (see below), whose sum is σ = 31125081748320. Its totient is φ = 2621059513344.

The previous prime is 10102000212119. The next prime is 10102000212133. The reversal of 10102000212120 is 2121200020101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10102000212096 and 10102000212105.

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, 1137608197 + ... + 1137617076.

Almost surely, 2^{10102000212120} is an apocalyptic number.

10102000212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102000212120 is an abundant number, since it is smaller than the sum of its proper divisors (21023081536200).

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

10102000212120 is a wasteful number, since it uses less digits than its factorization.

10102000212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275225324 (or 2275225320 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102000212120 its reverse (2121200020101), we get a palindrome (12223200232221).

The spelling of 10102000212120 in words is "ten trillion, one hundred two billion, two hundred twelve thousand, one hundred twenty".