202010100012120 has 256 divisors, whose sum is σ = 631551277486080. Its totient is φ = 51648516864000.

The previous prime is 202010100012079. The next prime is 202010100012137. The reversal of 202010100012120 is 21210001010202.

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 = 202010100012096 and 202010100012105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93553369 + ... + 95688311.

It is an arithmetic number, because the mean of its divisors is an integer number (2466997177680).

Almost surely, 2^{202010100012120} is an apocalyptic number.

202010100012120 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 202010100012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315775638743040).

202010100012120 is an abundant number, since it is smaller than the sum of its proper divisors (429541177473960).

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

202010100012120 is a wasteful number, since it uses less digits than its factorization.

202010100012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135306 (or 2135302 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202010100012120 its reverse (21210001010202), we get a palindrome (223220101022322).

The spelling of 202010100012120 in words is "two hundred two trillion, ten billion, one hundred million, twelve thousand, one hundred twenty".