21100211012000 has 96 divisors (see below), whose sum is σ = 51852895174080. Its totient is φ = 8438509036800.

The previous prime is 21100211011987. The next prime is 21100211012107. The reversal of 21100211012000 is 21011200112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21058391 + ... + 22037609.

It is an arithmetic number, because the mean of its divisors is an integer number (540134324730).

Almost surely, 2^{21100211012000} is an apocalyptic number.

21100211012000 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 21100211012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25926447587040).

21100211012000 is an abundant number, since it is smaller than the sum of its proper divisors (30752684162080).

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

21100211012000 is an equidigital number, since it uses as much as digits as its factorization.

21100211012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984631 (or 984613 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21100211012000 its reverse (21011200112), we get a palindrome (21121222212112).

The spelling of 21100211012000 in words is "twenty-one trillion, one hundred billion, two hundred eleven million, twelve thousand".