21100010000100 has 288 divisors, whose sum is σ = 61965512036736. Its totient is φ = 5542857216000.

The previous prime is 21100010000077. The next prime is 21100010000117. The reversal of 21100010000100 is 100001000112.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7864333359 + ... + 7864336041.

Almost surely, 2^{21100010000100} is an apocalyptic number.

21100010000100 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 21100010000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30982756018368).

21100010000100 is an abundant number, since it is smaller than the sum of its proper divisors (40865502036636).

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

21100010000100 is a wasteful number, since it uses less digits than its factorization.

21100010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 21100010000100 its reverse (100001000112), we get a palindrome (21200011000212).

The spelling of 21100010000100 in words is "twenty-one trillion, one hundred billion, ten million, one hundred", and thus it is an aban number.