10111100111001 has 12 divisors (see below), whose sum is σ = 14999650015012. Its totient is φ = 6558551423136.

The previous prime is 10111100110973. The next prime is 10111100111017. The reversal of 10111100111001 is 10011100111101.

It can be written as a sum of positive squares in 2 ways, for example, as 9640745552025 + 470354558976 = 3104955^2 + 685824^2 .

It is not a de Polignac number, because 10111100111001 - 2⁷ = 10111100110873 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 not an unprimeable number, because it can be changed into a prime (10111100111201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15181831666 + ... + 15181832331.

Almost surely, 2^{10111100111001} is an apocalyptic number.

It is an amenable number.

10111100111001 is a deficient number, since it is larger than the sum of its proper divisors (4888549904011).

10111100111001 is a wasteful number, since it uses less digits than its factorization.

10111100111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30363664040 (or 30363664037 counting only the distinct ones).

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

Adding to 10111100111001 its reverse (10011100111101), we get a palindrome (20122200222102).

The spelling of 10111100111001 in words is "ten trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one".