21102021011200 has 1728 divisors, whose sum is σ = 63768718540800. Its totient is φ = 6849449164800.

The previous prime is 21102021011167. The next prime is 21102021011207. The reversal of 21102021011200 is 211012020112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102021011207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151813100731 + ... + 151813100869.

It is an arithmetic number, because the mean of its divisors is an integer number (36903193600).

Almost surely, 2^{21102021011200} is an apocalyptic number.

21102021011200 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 21102021011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31884359270400).

21102021011200 is an abundant number, since it is smaller than the sum of its proper divisors (42666697529600).

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

21102021011200 is a wasteful number, since it uses less digits than its factorization.

21102021011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21102021011200 its reverse (211012020112), we get a palindrome (21313033031312).

The spelling of 21102021011200 in words is "twenty-one trillion, one hundred two billion, twenty-one million, eleven thousand, two hundred".