100991752901 has 16 divisors (see below), whose sum is σ = 110242056960. Its totient is φ = 91955373120.

The previous prime is 100991752891. The next prime is 100991752921. The reversal of 100991752901 is 109257199001.

It is not a de Polignac number, because 100991752901 - 2¹⁰ = 100991751877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100991752921) 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, 1043306 + ... + 1135988.

It is an arithmetic number, because the mean of its divisors is an integer number (6890128560).

Almost surely, 2^100991752901 is an apocalyptic number.

It is an amenable number.

100991752901 is a deficient number, since it is larger than the sum of its proper divisors (9250304059).

100991752901 is a wasteful number, since it uses less digits than its factorization.

100991752901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93836.

The product of its (nonzero) digits is 51030, while the sum is 44.

The spelling of 100991752901 in words is "one hundred billion, nine hundred ninety-one million, seven hundred fifty-two thousand, nine hundred one".