213301122100 has 36 divisors (see below), whose sum is σ = 504941931648. Its totient is φ = 77564044000.

The previous prime is 213301122053. The next prime is 213301122137. The reversal of 213301122100 is 1221103312.

213301122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96953956 + ... + 96956155.

It is an arithmetic number, because the mean of its divisors is an integer number (14026164768).

Almost surely, 2^213301122100 is an apocalyptic number.

213301122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213301122100 is an abundant number, since it is smaller than the sum of its proper divisors (291640809548).

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

213301122100 is a wasteful number, since it uses less digits than its factorization.

213301122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193910136 (or 193910129 counting only the distinct ones).

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

Adding to 213301122100 its reverse (1221103312), we get a palindrome (214522225412).

The spelling of 213301122100 in words is "two hundred thirteen billion, three hundred one million, one hundred twenty-two thousand, one hundred".