100101011100111 has 48 divisors (see below), whose sum is σ = 167114759086080. Its totient is φ = 56553830847360.

The previous prime is 100101011100071. The next prime is 100101011100179. The reversal of 100101011100111 is 111001110101001.

It is not a de Polignac number, because 100101011100111 - 2¹⁹ = 100101010575823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101011100093 and 100101011100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101011101111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78668646 + ... + 79930956.

It is an arithmetic number, because the mean of its divisors is an integer number (3481557480960).

Almost surely, 2^{100101011100111} is an apocalyptic number.

100101011100111 is a deficient number, since it is larger than the sum of its proper divisors (67013747985969).

100101011100111 is a wasteful number, since it uses less digits than its factorization.

100101011100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276556 (or 1276553 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100101011100111 its reverse (111001110101001), we get a palindrome (211102121201112).

The spelling of 100101011100111 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred thousand, one hundred eleven".