101165060101001 has 8 divisors (see below), whose sum is σ = 109093619019840. Its totient is φ = 93257448499152.

The previous prime is 101165060100997. The next prime is 101165060101097. The reversal of 101165060101001 is 100101060561101.

It is a happy number.

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 101165060101001 - 2² = 101165060100997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101165060101801) 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, 5236819211 + ... + 5236838528.

It is an arithmetic number, because the mean of its divisors is an integer number (13636702377480).

Almost surely, 2^{101165060101001} is an apocalyptic number.

It is an amenable number.

101165060101001 is a deficient number, since it is larger than the sum of its proper divisors (7928558918839).

101165060101001 is a wasteful number, since it uses less digits than its factorization.

101165060101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10473658495.

The product of its (nonzero) digits is 180, while the sum is 23.

The spelling of 101165060101001 in words is "one hundred one trillion, one hundred sixty-five billion, sixty million, one hundred one thousand, one".