201002111210120 has 128 divisors (see below), whose sum is σ = 506368580215680. Its totient is φ = 71172603648000.

The previous prime is 201002111210099. The next prime is 201002111210141. The reversal of 201002111210120 is 21012111200102.

It is an interprime number because it is at equal distance from previous prime (201002111210099) and next prime (201002111210141).

It is a junction number, because it is equal to n+sod(n) for n = 201002111210095 and 201002111210104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1217111 + ... + 20086950.

It is an arithmetic number, because the mean of its divisors is an integer number (3956004532935).

Almost surely, 2^{201002111210120} is an apocalyptic number.

201002111210120 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 201002111210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253184290107840).

201002111210120 is an abundant number, since it is smaller than the sum of its proper divisors (305366469005560).

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

201002111210120 is a wasteful number, since it uses less digits than its factorization.

201002111210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21304647 (or 21304643 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201002111210120 its reverse (21012111200102), we get a palindrome (222014222410222).

The spelling of 201002111210120 in words is "two hundred one trillion, two billion, one hundred eleven million, two hundred ten thousand, one hundred twenty".