101100001011111 has 18 divisors (see below), whose sum is σ = 151642296908232. Its totient is φ = 67400000669700.

The previous prime is 101100001011101. The next prime is 101100001011161. The reversal of 101100001011111 is 111110100001101.

It is not a de Polignac number, because 101100001011111 - 2⁴⁶ = 30731256833447 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 = 101100001011093 and 101100001011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100001011101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7704611715 + ... + 7704624836.

Almost surely, 2^{101100001011111} is an apocalyptic number.

101100001011111 is a deficient number, since it is larger than the sum of its proper divisors (50542295897121).

101100001011111 is an frugal number, since it uses more digits than its factorization.

101100001011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15409236575 (or 15409236554 counting only the distinct ones).

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

Adding to 101100001011111 its reverse (111110100001101), we get a palindrome (212210101012212).

The spelling of 101100001011111 in words is "one hundred one trillion, one hundred billion, one million, eleven thousand, one hundred eleven".