101100001100001 has 32 divisors (see below), whose sum is σ = 137007758966400. Its totient is φ = 66305295052800.

The previous prime is 101100001099967. The next prime is 101100001100039. The reversal of 101100001100001 is 100001100001101.

It is not a de Polignac number, because 101100001100001 - 2¹⁹ = 101100000575713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100001100041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65240595 + ... + 66772263.

It is an arithmetic number, because the mean of its divisors is an integer number (4281492467700).

Almost surely, 2^{101100001100001} is an apocalyptic number.

It is an amenable number.

101100001100001 is a deficient number, since it is larger than the sum of its proper divisors (35907757866399).

101100001100001 is a wasteful number, since it uses less digits than its factorization.

101100001100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533169.

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

Adding to 101100001100001 its reverse (100001100001101), we get a palindrome (201101101101102).

It can be divided in two parts, 101 and 100001100001, that multiplied together give a palindrome (10100111100101).

The spelling of 101100001100001 in words is "one hundred one trillion, one hundred billion, one million, one hundred thousand, one".