210011202002120 has 128 divisors (see below), whose sum is σ = 490338272390400. Its totient is φ = 80855759846400.

The previous prime is 210011202002101. The next prime is 210011202002183. The reversal of 210011202002120 is 21200202110012.

It is a junction number, because it is equal to n+sod(n) for n = 210011202002095 and 210011202002104.

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 31 ways as a sum of consecutive naturals, for example, 7862335565 + ... + 7862362275.

It is an arithmetic number, because the mean of its divisors is an integer number (3830767753050).

Almost surely, 2^{210011202002120} is an apocalyptic number.

210011202002120 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 210011202002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245169136195200).

210011202002120 is an abundant number, since it is smaller than the sum of its proper divisors (280327070388280).

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

210011202002120 is a wasteful number, since it uses less digits than its factorization.

210011202002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47559 (or 47555 counting only the distinct ones).

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

Adding to 210011202002120 its reverse (21200202110012), we get a palindrome (231211404112132).

The spelling of 210011202002120 in words is "two hundred ten trillion, eleven billion, two hundred two million, two thousand, one hundred twenty".