100000000111001 has 16 divisors (see below), whose sum is σ = 105429369830400. Its totient is φ = 94587258599568.

The previous prime is 100000000110973. The next prime is 100000000111031. The reversal of 100000000111001 is 100111000000001.

It is a cyclic number.

It is not a de Polignac number, because 100000000111001 - 2¹⁸ = 99999999848857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100000000111031) 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, 751999820 + ... + 752132786.

It is an arithmetic number, because the mean of its divisors is an integer number (6589335614400).

Almost surely, 2^{100000000111001} is an apocalyptic number.

It is an amenable number.

100000000111001 is a deficient number, since it is larger than the sum of its proper divisors (5429369719399).

100000000111001 is a wasteful number, since it uses less digits than its factorization.

100000000111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195188.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100000000111001 its reverse (100111000000001), we get a palindrome (200111000111002).

It can be divided in two parts, 100000000 and 111001, that added together give a palindrome (100111001).

The spelling of 100000000111001 in words is "one hundred trillion, one hundred eleven thousand, one".