213200120100 has 72 divisors (see below), whose sum is σ = 672937116768. Its totient is φ = 51684876800.

The previous prime is 213200120093. The next prime is 213200120141. The reversal of 213200120100 is 1021002312.

213200120100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 32299749 + ... + 32306348.

It is an arithmetic number, because the mean of its divisors is an integer number (9346348844).

Almost surely, 2^213200120100 is an apocalyptic number.

213200120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213200120100 is an abundant number, since it is smaller than the sum of its proper divisors (459736996668).

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

213200120100 is a wasteful number, since it uses less digits than its factorization.

213200120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64606125 (or 64606118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 213200120100 its reverse (1021002312), we get a palindrome (214221122412).

The spelling of 213200120100 in words is "two hundred thirteen billion, two hundred million, one hundred twenty thousand, one hundred".