100501362242073 has 72 divisors (see below), whose sum is σ = 168057108191232. Its totient is φ = 57643796980224.

The previous prime is 100501362241981. The next prime is 100501362242117. The reversal of 100501362242073 is 370242263105001.

100501362242073 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 1 + 3 + 622 + 4 + 20 + 7 + 3 = 666.

It is not a de Polignac number, because 100501362242073 - 2⁸ = 100501362241817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100501362241073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16204761 + ... + 21531302.

It is an arithmetic number, because the mean of its divisors is an integer number (2334126502656).

Almost surely, 2^{100501362242073} is an apocalyptic number.

100501362242073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100501362242073 is a deficient number, since it is larger than the sum of its proper divisors (67555745949159).

100501362242073 is a wasteful number, since it uses less digits than its factorization.

100501362242073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37736215 (or 37736199 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 100501362242073 in words is "one hundred trillion, five hundred one billion, three hundred sixty-two million, two hundred forty-two thousand, seventy-three".