210000202002120 has 128 divisors (see below), whose sum is σ = 630460833868800. Its totient is φ = 55959150253824.

The previous prime is 210000202002049. The next prime is 210000202002121. The reversal of 210000202002120 is 21200202000012.

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 = 210000202002096 and 210000202002105.

It is not an unprimeable number, because it can be changed into a prime (210000202002121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3089158291 + ... + 3089226269.

It is an arithmetic number, because the mean of its divisors is an integer number (4925475264600).

Almost surely, 2^{210000202002120} is an apocalyptic number.

210000202002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210000202002120 is an abundant number, since it is smaller than the sum of its proper divisors (420460631866680).

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

210000202002120 is a wasteful number, since it uses less digits than its factorization.

210000202002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86419 (or 86415 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210000202002120 its reverse (21200202000012), we get a palindrome (231200404002132).

The spelling of 210000202002120 in words is "two hundred ten trillion, two hundred two million, two thousand, one hundred twenty".