100111100100011 has 32 divisors (see below), whose sum is σ = 134577437879808. Its totient is φ = 71920912170240.

The previous prime is 100111100099993. The next prime is 100111100100013. The reversal of 100111100100011 is 110001001111001.

It is not a de Polignac number, because 100111100100011 - 2⁶ = 100111100099947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111100100013) 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, 59638370 + ... + 61294023.

It is an arithmetic number, because the mean of its divisors is an integer number (4205544933744).

Almost surely, 2^{100111100100011} is an apocalyptic number.

100111100100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111100100011 is a deficient number, since it is larger than the sum of its proper divisors (34466337779797).

100111100100011 is a wasteful number, since it uses less digits than its factorization.

100111100100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120933251.

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

Adding to 100111100100011 its reverse (110001001111001), we get a palindrome (210112101211012).

The spelling of 100111100100011 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred thousand, eleven".