102202002001120 has 72 divisors (see below), whose sum is σ = 280873001949624. Its totient is φ = 35040686397696.

The previous prime is 102202002001103. The next prime is 102202002001123. The reversal of 102202002001120 is 21100200202201.

It is a happy number.

It is a super-3 number, since 3×102202002001120³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102202002001120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202002001123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6517976982 + ... + 6517992661.

It is an arithmetic number, because the mean of its divisors is an integer number (3901013915967).

Almost surely, 2^{102202002001120} is an apocalyptic number.

102202002001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202002001120 is an abundant number, since it is smaller than the sum of its proper divisors (178670999948504).

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

102202002001120 is a wasteful number, since it uses less digits than its factorization.

102202002001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035969672 (or 13035969657 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102202002001120 its reverse (21100200202201), we get a palindrome (123302202203321).

The spelling of 102202002001120 in words is "one hundred two trillion, two hundred two billion, two million, one thousand, one hundred twenty".