10100111100001 has 16 divisors (see below), whose sum is σ = 11517035846400. Its totient is φ = 8774629855488.

The previous prime is 10100111099989. The next prime is 10100111100019. The reversal of 10100111100001 is 10000111100101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100111100001 - 2³³ = 10091521165409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100111100301) 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, 16976280 + ... + 17561158.

It is an arithmetic number, because the mean of its divisors is an integer number (719814740400).

Almost surely, 2^{10100111100001} is an apocalyptic number.

It is an amenable number.

10100111100001 is a deficient number, since it is larger than the sum of its proper divisors (1416924746399).

10100111100001 is a wasteful number, since it uses less digits than its factorization.

10100111100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663048.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100111100001 its reverse (10000111100101), we get a palindrome (20100222200102).

The spelling of 10100111100001 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred thousand, one".