100973954991 has 96 divisors (see below), whose sum is σ = 171704064000. Its totient is φ = 52306974720.

The previous prime is 100973954869. The next prime is 100973955013. The reversal of 100973954991 is 199459379001.

It is not a de Polignac number, because 100973954991 - 2¹¹ = 100973952943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100973955991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30041151 + ... + 30044511.

It is an arithmetic number, because the mean of its divisors is an integer number (1788584000).

Almost surely, 2^100973954991 is an apocalyptic number.

100973954991 is a deficient number, since it is larger than the sum of its proper divisors (70730109009).

100973954991 is a wasteful number, since it uses less digits than its factorization.

100973954991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 57.

The spelling of 100973954991 in words is "one hundred billion, nine hundred seventy-three million, nine hundred fifty-four thousand, nine hundred ninety-one".