20021100112000 has 192 divisors, whose sum is σ = 53901044013960. Its totient is φ = 7392405196800.

The previous prime is 20021100111923. The next prime is 20021100112003. The reversal of 20021100112000 is 21100112002.

It can be written as a sum of positive squares in 12 ways, for example, as 12962131287616 + 7058968824384 = 3600296^2 + 2656872^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20021100112003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998127 + ... + 6406126.

Almost surely, 2^{20021100112000} is an apocalyptic number.

20021100112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021100112000 is an abundant number, since it is smaller than the sum of its proper divisors (33879943901960).

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

20021100112000 is an equidigital number, since it uses as much as digits as its factorization.

20021100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404308 (or 7404273 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20021100112000 its reverse (21100112002), we get a palindrome (20042200224002).

The spelling of 20021100112000 in words is "twenty trillion, twenty-one billion, one hundred million, one hundred twelve thousand".