100113102329977 has 16 divisors (see below), whose sum is σ = 112994946792000. Its totient is φ = 87862180271040.

The previous prime is 100113102329927. The next prime is 100113102330013. The reversal of 100113102329977 is 779923201311001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100113102329977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100113102329927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17872227 + ... + 22795672.

It is an arithmetic number, because the mean of its divisors is an integer number (7062184174500).

Almost surely, 2^{100113102329977} is an apocalyptic number.

It is an amenable number.

100113102329977 is a deficient number, since it is larger than the sum of its proper divisors (12881844462023).

100113102329977 is a wasteful number, since it uses less digits than its factorization.

100113102329977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40675656.

The product of its (nonzero) digits is 142884, while the sum is 46.

The spelling of 100113102329977 in words is "one hundred trillion, one hundred thirteen billion, one hundred two million, three hundred twenty-nine thousand, nine hundred seventy-seven".