111100010111001 has 48 divisors (see below), whose sum is σ = 165870120096720. Its totient is φ = 71604051217920.

The previous prime is 111100010110907. The next prime is 111100010111063. The reversal of 111100010111001 is 100111010001111.

It can be written as a sum of positive squares in 8 ways, for example, as 20456262579600 + 90643747531401 = 4522860^2 + 9520701^2 .

It is not a de Polignac number, because 111100010111001 - 2²⁹ = 111099473240089 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111100010111201) 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, 92789335 + ... + 93979043.

It is an arithmetic number, because the mean of its divisors is an integer number (3455627502015).

Almost surely, 2^{111100010111001} is an apocalyptic number.

It is an amenable number.

111100010111001 is a deficient number, since it is larger than the sum of its proper divisors (54770109985719).

111100010111001 is a wasteful number, since it uses less digits than its factorization.

111100010111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191546 (or 1191543 counting only the distinct ones).

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

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

The spelling of 111100010111001 in words is "one hundred eleven trillion, one hundred billion, ten million, one hundred eleven thousand, one".