100010101110111 has 16 divisors (see below), whose sum is σ = 154604987224320. Its totient is φ = 63774557229240.

The previous prime is 100010101109993. The next prime is 100010101110149. The reversal of 100010101110111 is 111011101010001.

It is not a de Polignac number, because 100010101110111 - 2²⁵ = 100010067555679 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 = 100010101110093 and 100010101110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010101110181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80523430225 + ... + 80523431466.

It is an arithmetic number, because the mean of its divisors is an integer number (9662811701520).

Almost surely, 2^{100010101110111} is an apocalyptic number.

100010101110111 is a deficient number, since it is larger than the sum of its proper divisors (54594886114209).

100010101110111 is a wasteful number, since it uses less digits than its factorization.

100010101110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161046861723 (or 161046861717 counting only the distinct ones).

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

Adding to 100010101110111 its reverse (111011101010001), we get a palindrome (211021202120112).

The spelling of 100010101110111 in words is "one hundred trillion, ten billion, one hundred one million, one hundred ten thousand, one hundred eleven".