100001111010111 has 24 divisors (see below), whose sum is σ = 148356790272704. Its totient is φ = 64862614969920.

The previous prime is 100001111010061. The next prime is 100001111010139. The reversal of 100001111010111 is 111010111100001.

It is not a de Polignac number, because 100001111010111 - 2¹¹ = 100001111008063 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001111010093 and 100001111010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001111110111) 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 23 ways as a sum of consecutive naturals, for example, 417705 + ... + 14148381.

Almost surely, 2^{100001111010111} is an apocalyptic number.

100001111010111 is a deficient number, since it is larger than the sum of its proper divisors (48355679262593).

100001111010111 is a wasteful number, since it uses less digits than its factorization.

100001111010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13752591 (or 13752588 counting only the distinct ones).

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

Adding to 100001111010111 its reverse (111010111100001), we get a palindrome (211011222110112).

It can be divided in two parts, 100001 and 111010111, that multiplied together give a palindrome (11101122110111).

The spelling of 100001111010111 in words is "one hundred trillion, one billion, one hundred eleven million, ten thousand, one hundred eleven".