20002100112000 has 192 divisors, whose sum is σ = 71832542544360. Its totient is φ = 5333893324800.

The previous prime is 20002100111971. The next prime is 20002100112011. The reversal of 20002100112000 is 21100120002.

It can be written as a sum of positive squares in 4 ways, for example, as 1115288069184 + 18886812042816 = 1056072^2 + 4345896^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69307737 + ... + 69595736.

Almost surely, 2^{20002100112000} is an apocalyptic number.

20002100112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002100112000 is an abundant number, since it is smaller than the sum of its proper divisors (51830442432360).

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

20002100112000 is a wasteful number, since it uses less digits than its factorization.

20002100112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138903508 (or 138903483 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20002100112000 its reverse (21100120002), we get a palindrome (20023200232002).

The spelling of 20002100112000 in words is "twenty trillion, two billion, one hundred million, one hundred twelve thousand".