102013255142100 has 108 divisors (see below), whose sum is σ = 320328948627324. Its totient is φ = 27154695191040.

The previous prime is 102013255142023. The next prime is 102013255142101. The reversal of 102013255142100 is 1241552310201.

It is a happy number.

102013255142100 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 3 + 2 + 551 + 4 + 2 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2325939984 + 102010929202116 = 48228^2 + 10100046^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013255142101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101247409 + ... + 102250008.

Almost surely, 2^{102013255142100} is an apocalyptic number.

102013255142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013255142100 is an abundant number, since it is smaller than the sum of its proper divisors (218315693485224).

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

102013255142100 is a wasteful number, since it uses less digits than its factorization.

102013255142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203497994 (or 203497984 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 102013255142100 in words is "one hundred two trillion, thirteen billion, two hundred fifty-five million, one hundred forty-two thousand, one hundred".