100111010001111 has 12 divisors (see below), whose sum is σ = 148513029851992. Its totient is φ = 64936871351856.

The previous prime is 100111010001103. The next prime is 100111010001133. The reversal of 100111010001111 is 111100010111001.

It is not a de Polignac number, because 100111010001111 - 2³ = 100111010001103 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 = 100111010001093 and 100111010001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111010001151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150316831501 + ... + 150316832166.

Almost surely, 2^{100111010001111} is an apocalyptic number.

100111010001111 is a deficient number, since it is larger than the sum of its proper divisors (48402019850881).

100111010001111 is a wasteful number, since it uses less digits than its factorization.

100111010001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300633663710 (or 300633663707 counting only the distinct ones).

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

Adding to 100111010001111 its reverse (111100010111001), we get a palindrome (211211020112112).

The spelling of 100111010001111 in words is "one hundred trillion, one hundred eleven billion, ten million, one thousand, one hundred eleven".