213102120 has 128 divisors (see below), whose sum is σ = 797091840. Its totient is φ = 44279040.

The previous prime is 213102079. The next prime is 213102139. The reversal of 213102120 is 21201312.

213102120 is digitally balanced in base 2, because in such base 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 a junction number, because it is equal to n+sod(n) for n = 213102096 and 213102105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292 + ... + 20771.

It is an arithmetic number, because the mean of its divisors is an integer number (6227280).

Almost surely, 2^213102120 is an apocalyptic number.

213102120 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 213102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398545920).

213102120 is an abundant number, since it is smaller than the sum of its proper divisors (583989720).

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

213102120 is a wasteful number, since it uses less digits than its factorization.

213102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23095 (or 23091 counting only the distinct ones).

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

The square root of 213102120 is about 14598.0176736432. The cubic root of 213102120 is about 597.3046880640.

Adding to 213102120 its reverse (21201312), we get a palindrome (234303432).

The spelling of 213102120 in words is "two hundred thirteen million, one hundred two thousand, one hundred twenty".