100111000100111 has 144 divisors (see below), whose sum is σ = 143237409638400. Its totient is φ = 68074309733760.

The previous prime is 100111000100101. The next prime is 100111000100113. The reversal of 100111000100111 is 111001000111001.

It is not a de Polignac number, because 100111000100111 - 2⁶ = 100111000100047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111000100113) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1903984820 + ... + 1904037398.

It is an arithmetic number, because the mean of its divisors is an integer number (994704233600).

Almost surely, 2^{100111000100111} is an apocalyptic number.

100111000100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111000100111 is a deficient number, since it is larger than the sum of its proper divisors (43126409538289).

100111000100111 is a wasteful number, since it uses less digits than its factorization.

100111000100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53138 (or 53108 counting only the distinct ones).

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

Adding to 100111000100111 its reverse (111001000111001), we get a palindrome (211112000211112).

The spelling of 100111000100111 in words is "one hundred trillion, one hundred eleven billion, one hundred thousand, one hundred eleven".