1100100010891 has 16 divisors (see below), whose sum is σ = 1270445140224. Its totient is φ = 933071850144.

The previous prime is 1100100010861. The next prime is 1100100010901. The reversal of 1100100010891 is 1980100010011.

It is not a de Polignac number, because 1100100010891 - 2⁵ = 1100100010859 is a prime.

It is a super-3 number, since 3×1100100010891³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100100010861) 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, 170320 + ... + 1493053.

It is an arithmetic number, because the mean of its divisors is an integer number (79402821264).

Almost surely, 2^{1100100010891} is an apocalyptic number.

1100100010891 is a deficient number, since it is larger than the sum of its proper divisors (170345129333).

1100100010891 is a wasteful number, since it uses less digits than its factorization.

1100100010891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664370.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 1100100010891 in words is "one trillion, one hundred billion, one hundred million, ten thousand, eight hundred ninety-one".