21012311100000 has 2304 divisors, whose sum is σ = 83765486665728. Its totient is φ = 4552704000000.

The previous prime is 21012311099953. The next prime is 21012311100031. The reversal of 21012311100000 is 111321012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 110012099905 + ... + 110012100095.

It is an arithmetic number, because the mean of its divisors is an integer number (36356548032).

Almost surely, 2^{21012311100000} is an apocalyptic number.

21012311100000 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 21012311100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41882743332864).

21012311100000 is an abundant number, since it is smaller than the sum of its proper divisors (62753175565728).

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

21012311100000 is a wasteful number, since it uses less digits than its factorization.

21012311100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 21012311100000 its reverse (111321012), we get a palindrome (21012422421012).

The spelling of 21012311100000 in words is "twenty-one trillion, twelve billion, three hundred eleven million, one hundred thousand".