21002211100 has 72 divisors (see below), whose sum is σ = 49632292080. Its totient is φ = 7667489280.

The previous prime is 21002211073. The next prime is 21002211119. The reversal of 21002211100 is 111220012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24939 + ... + 206461.

It is an arithmetic number, because the mean of its divisors is an integer number (689337390).

Almost surely, 2^21002211100 is an apocalyptic number.

21002211100 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 21002211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24816146040).

21002211100 is an abundant number, since it is smaller than the sum of its proper divisors (28630080980).

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

21002211100 is a wasteful number, since it uses less digits than its factorization.

21002211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181639 (or 181632 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21002211100 its reverse (111220012), we get a palindrome (21113431112).

It can be divided in two parts, 210022 and 11100, that added together give a palindrome (221122).

The spelling of 21002211100 in words is "twenty-one billion, two million, two hundred eleven thousand, one hundred".