213112302100 has 72 divisors (see below), whose sum is σ = 472602751488. Its totient is φ = 83376508800.

The previous prime is 213112302097. The next prime is 213112302101. The reversal of 213112302100 is 1203211312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112302101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7567045 + ... + 7595155.

It is an arithmetic number, because the mean of its divisors is an integer number (6563927104).

Almost surely, 2^213112302100 is an apocalyptic number.

213112302100 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 213112302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236301375744).

213112302100 is an abundant number, since it is smaller than the sum of its proper divisors (259490449388).

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

213112302100 is a wasteful number, since it uses less digits than its factorization.

213112302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29785 (or 29778 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 213112302100 its reverse (1203211312), we get a palindrome (214315513412).

The spelling of 213112302100 in words is "two hundred thirteen billion, one hundred twelve million, three hundred two thousand, one hundred".