101100561111001 has 8 divisors (see below), whose sum is σ = 101706780115584. Its totient is φ = 100494351945120.

The previous prime is 101100561110977. The next prime is 101100561111019. The reversal of 101100561111001 is 100111165001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101100561111001 - 2³³ = 101091971176409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101100561111001.

It is not an unprimeable number, because it can be changed into a prime (101100561117001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18697501 + ... + 23490373.

It is an arithmetic number, because the mean of its divisors is an integer number (12713347514448).

Almost surely, 2^{101100561111001} is an apocalyptic number.

It is an amenable number.

101100561111001 is a deficient number, since it is larger than the sum of its proper divisors (606219004583).

101100561111001 is a wasteful number, since it uses less digits than its factorization.

101100561111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919351.

The product of its (nonzero) digits is 30, while the sum is 19.

The spelling of 101100561111001 in words is "one hundred one trillion, one hundred billion, five hundred sixty-one million, one hundred eleven thousand, one".