202102300113120 has 384 divisors, whose sum is σ = 772428291264000. Its totient is φ = 48945927905280.

The previous prime is 202102300113073. The next prime is 202102300113167. The reversal of 202102300113120 is 21311003201202.

202102300113120 is a `hidden beast` number, since 2 + 0 + 210 + 2 + 300 + 1 + 131 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (202102300113073) and next prime (202102300113167).

It is a super-2 number, since 2×202102300113120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202102300113093 and 202102300113102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45840151 + ... + 50055209.

It is an arithmetic number, because the mean of its divisors is an integer number (2011532008500).

Almost surely, 2^{202102300113120} is an apocalyptic number.

202102300113120 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 202102300113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386214145632000).

202102300113120 is an abundant number, since it is smaller than the sum of its proper divisors (570325991150880).

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

202102300113120 is a wasteful number, since it uses less digits than its factorization.

202102300113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216103 (or 4216089 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202102300113120 its reverse (21311003201202), we get a palindrome (223413303314322).

The spelling of 202102300113120 in words is "two hundred two trillion, one hundred two billion, three hundred million, one hundred thirteen thousand, one hundred twenty".