102202202202120 has 96 divisors (see below), whose sum is σ = 332182717027200. Its totient is φ = 27251823367296.

The previous prime is 102202202202109. The next prime is 102202202202127. The reversal of 102202202202120 is 21202202202201.

102202202202120 is a `hidden beast` number, since 1 + 0 + 220 + 220 + 2 + 202 + 1 + 20 = 666.

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 = 102202202202093 and 102202202202102.

It is not an unprimeable number, because it can be changed into a prime (102202202202127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6235440 + ... + 15597599.

It is an arithmetic number, because the mean of its divisors is an integer number (3460236635700).

Almost surely, 2^{102202202202120} is an apocalyptic number.

102202202202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202202202120 is an abundant number, since it is smaller than the sum of its proper divisors (229980514825080).

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

102202202202120 is a wasteful number, since it uses less digits than its factorization.

102202202202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21846059 (or 21846052 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102202202202120 its reverse (21202202202201), we get a palindrome (123404404404321).

The spelling of 102202202202120 in words is "one hundred two trillion, two hundred two billion, two hundred two million, two hundred two thousand, one hundred twenty".