100102553624073 has 128 divisors (see below), whose sum is σ = 180921600921600. Its totient is φ = 47541661516800.

The previous prime is 100102553623957. The next prime is 100102553624077. The reversal of 100102553624073 is 370426355201001.

It is not a de Polignac number, because 100102553624073 - 2⁸ = 100102553623817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (100102553624077) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 828404223 + ... + 828525051.

It is an arithmetic number, because the mean of its divisors is an integer number (1413450007200).

Almost surely, 2^{100102553624073} is an apocalyptic number.

100102553624073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100102553624073 is a deficient number, since it is larger than the sum of its proper divisors (80819047297527).

100102553624073 is a wasteful number, since it uses less digits than its factorization.

100102553624073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123503.

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 100102553624073 in words is "one hundred trillion, one hundred two billion, five hundred fifty-three million, six hundred twenty-four thousand, seventy-three".