10102113331120 has 20 divisors (see below), whose sum is σ = 23487413495040. Its totient is φ = 4040845332416.

The previous prime is 10102113331103. The next prime is 10102113331151. The reversal of 10102113331120 is 2113331120101.

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63138208240 + ... + 63138208399.

It is an arithmetic number, because the mean of its divisors is an integer number (1174370674752).

Almost surely, 2^{10102113331120} is an apocalyptic number.

10102113331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102113331120 is an abundant number, since it is smaller than the sum of its proper divisors (13385300163920).

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

10102113331120 is a wasteful number, since it uses less digits than its factorization.

10102113331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126276416652 (or 126276416646 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10102113331120 its reverse (2113331120101), we get a palindrome (12215444451221).

The spelling of 10102113331120 in words is "ten trillion, one hundred two billion, one hundred thirteen million, three hundred thirty-one thousand, one hundred twenty".