100111100001011 has 16 divisors (see below), whose sum is σ = 110326256409600. Its totient is φ = 90082171404000.

The previous prime is 100111100000999. The next prime is 100111100001041. The reversal of 100111100001011 is 110100001111001.

It is a cyclic number.

It is not a de Polignac number, because 100111100001011 - 2²⁶ = 100111032892147 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100111100001011.

It is not an unprimeable number, because it can be changed into a prime (100111100001041) 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, 9681221 + ... + 17144918.

It is an arithmetic number, because the mean of its divisors is an integer number (6895391025600).

Almost surely, 2^{100111100001011} is an apocalyptic number.

100111100001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111100001011 is a deficient number, since it is larger than the sum of its proper divisors (10215156408589).

100111100001011 is a wasteful number, since it uses less digits than its factorization.

100111100001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26829610.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111100001011 its reverse (110100001111001), we get a palindrome (210211101112012).

It can be divided in two parts, 100 and 111100001011, that added together give a palindrome (111100001111).

The spelling of 100111100001011 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one thousand, eleven".