21112020010000 has 200 divisors, whose sum is σ = 55987291550520. Its totient is φ = 7673981952000.

The previous prime is 21112020009973. The next prime is 21112020010007. The reversal of 21112020010000 is 1002021112.

It can be written as a sum of positive squares in 20 ways, for example, as 19634540863744 + 1477479146256 = 4431088^2 + 1215516^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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 (21112020010007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2788822 + ... + 7071178.

Almost surely, 2^{21112020010000} is an apocalyptic number.

21112020010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112020010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27993645775260).

21112020010000 is an abundant number, since it is smaller than the sum of its proper divisors (34875271540520).

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

21112020010000 is a wasteful number, since it uses less digits than its factorization.

21112020010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282431 (or 4282410 counting only the distinct ones).

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

Adding to 21112020010000 its reverse (1002021112), we get a palindrome (21113022031112).

The spelling of 21112020010000 in words is "twenty-one trillion, one hundred twelve billion, twenty million, ten thousand".