101011100111111 has 16 divisors (see below), whose sum is σ = 101161240243200. Its totient is φ = 100861109418528.

The previous prime is 101011100111093. The next prime is 101011100111143. The reversal of 101011100111111 is 111111001110101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011100111111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011100111092 and 101011100111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011100111711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14705353985 + ... + 14705360853.

It is an arithmetic number, because the mean of its divisors is an integer number (6322577515200).

Almost surely, 2^{101011100111111} is an apocalyptic number.

101011100111111 is a deficient number, since it is larger than the sum of its proper divisors (150140132089).

101011100111111 is a wasteful number, since it uses less digits than its factorization.

101011100111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14878.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101011100111111 its reverse (111111001110101), we get a palindrome (212122101221212).

The spelling of 101011100111111 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred eleven thousand, one hundred eleven".