102002055311120 has 20 divisors (see below), whose sum is σ = 237154778598540. Its totient is φ = 40800822124416.

The previous prime is 102002055311083. The next prime is 102002055311153. The reversal of 102002055311120 is 21113550200201.

It can be written as a sum of positive squares in 2 ways, for example, as 25388376761344 + 76613678549776 = 5038688^2 + 8752924^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 637512845615 + ... + 637512845774.

It is an arithmetic number, because the mean of its divisors is an integer number (11857738929927).

Almost surely, 2^{102002055311120} is an apocalyptic number.

102002055311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002055311120 is an abundant number, since it is smaller than the sum of its proper divisors (135152723287420).

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

102002055311120 is a wasteful number, since it uses less digits than its factorization.

102002055311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275025691402 (or 1275025691396 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 102002055311120 in words is "one hundred two trillion, two billion, fifty-five million, three hundred eleven thousand, one hundred twenty".