210010202102120 has 96 divisors (see below), whose sum is σ = 549855085946400. Its totient is φ = 71979194996352.

The previous prime is 210010202102093. The next prime is 210010202102123. The reversal of 210010202102120 is 21201202010012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 210010202102095 and 210010202102104.

It is not an unprimeable number, because it can be changed into a prime (210010202102123) 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, 12273530 + ... + 23888489.

It is an arithmetic number, because the mean of its divisors is an integer number (5727657145275).

Almost surely, 2^{210010202102120} is an apocalyptic number.

210010202102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010202102120 is an abundant number, since it is smaller than the sum of its proper divisors (339844883844280).

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

210010202102120 is a wasteful number, since it uses less digits than its factorization.

210010202102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36165007 (or 36164996 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210010202102120 its reverse (21201202010012), we get a palindrome (231211404112132).

The spelling of 210010202102120 in words is "two hundred ten trillion, ten billion, two hundred two million, one hundred two thousand, one hundred twenty".