213021100120 has 128 divisors (see below), whose sum is σ = 491754240000. Its totient is φ = 83018856960.

The previous prime is 213021100087. The next prime is 213021100141. The reversal of 213021100120 is 21001120312.

It is a self number, because there is not a number n which added to its sum of digits gives 213021100120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344137171 + ... + 344137789.

It is an arithmetic number, because the mean of its divisors is an integer number (3841830000).

Almost surely, 2^213021100120 is an apocalyptic number.

213021100120 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 213021100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245877120000).

213021100120 is an abundant number, since it is smaller than the sum of its proper divisors (278733139880).

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

213021100120 is a wasteful number, since it uses less digits than its factorization.

213021100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 213021100120 its reverse (21001120312), we get a palindrome (234022220432).

The spelling of 213021100120 in words is "two hundred thirteen billion, twenty-one million, one hundred thousand, one hundred twenty".