21100889700 has 432 divisors, whose sum is σ = 74582726400. Its totient is φ = 4945920000.

The previous prime is 21100889699. The next prime is 21100889743. The reversal of 21100889700 is 798800112.

It is a super-2 number, since 2×21100889700² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46995076 + ... + 46995524.

It is an arithmetic number, because the mean of its divisors is an integer number (172645200).

Almost surely, 2^21100889700 is an apocalyptic number.

21100889700 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 21100889700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37291363200).

21100889700 is an abundant number, since it is smaller than the sum of its proper divisors (53481836700).

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

21100889700 is a wasteful number, since it uses less digits than its factorization.

21100889700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 21100889700 in words is "twenty-one billion, one hundred million, eight hundred eighty-nine thousand, seven hundred".