21100200960000 has 560 divisors, whose sum is σ = 70995121838784. Its totient is φ = 5571674112000.

The previous prime is 21100200959983. The next prime is 21100200960011. The reversal of 21100200960000 is 6900200112.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1582073332 + ... + 1582086668.

Almost surely, 2^{21100200960000} is an apocalyptic number.

21100200960000 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 21100200960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35497560919392).

21100200960000 is an abundant number, since it is smaller than the sum of its proper divisors (49894920878784).

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

21100200960000 is an equidigital number, since it uses as much as digits as its factorization.

21100200960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13489 (or 13450 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 21100200960000 in words is "twenty-one trillion, one hundred billion, two hundred million, nine hundred sixty thousand".