101000101100001 has 16 divisors (see below), whose sum is σ = 136967495512320. Its totient is φ = 66183357142160.

The previous prime is 101000101099969. The next prime is 101000101100009. The reversal of 101000101100001 is 100001101000101.

It is a cyclic number.

It is not a de Polignac number, because 101000101100001 - 2⁵ = 101000101099969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000101100009) 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, 36593595 + ... + 39256736.

It is an arithmetic number, because the mean of its divisors is an integer number (8560468469520).

Almost surely, 2^{101000101100001} is an apocalyptic number.

It is an amenable number.

101000101100001 is a deficient number, since it is larger than the sum of its proper divisors (35967394412319).

101000101100001 is an equidigital number, since it uses as much as digits as its factorization.

101000101100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75857916.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000101100001 its reverse (100001101000101), we get a palindrome (201001202100102).

It can be divided in two parts, 101000101 and 100001, that multiplied together give a palindrome (10100111100101).

The spelling of 101000101100001 in words is "one hundred one trillion, one hundred one million, one hundred thousand, one".