20100100112000 has 64 divisors (see below), whose sum is σ = 49973873943240. Its totient is φ = 8040040038400.

The previous prime is 20100100111963. The next prime is 20100100112011. The reversal of 20100100112000 is 21100100102.

It can be written as a sum of positive squares in 4 ways, for example, as 5877366251584 + 14222733860416 = 2424328^2 + 3771304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628112129 + ... + 628144128.

Almost surely, 2^{20100100112000} is an apocalyptic number.

20100100112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100100112000 is an abundant number, since it is smaller than the sum of its proper divisors (29873773831240).

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

20100100112000 is an equidigital number, since it uses as much as digits as its factorization.

20100100112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256256286 (or 1256256264 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20100100112000 its reverse (21100100102), we get a palindrome (20121200212102).

The spelling of 20100100112000 in words is "twenty trillion, one hundred billion, one hundred million, one hundred twelve thousand".