101111101111111 has 16 divisors (see below), whose sum is σ = 125180789742400. Its totient is φ = 79999992075744.

The previous prime is 101111101111067. The next prime is 101111101111151. The reversal of 101111101111111 is 111111101111101.

It is a happy number.

It is not a de Polignac number, because 101111101111111 - 2⁹ = 101111101110599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101111101111091 and 101111101111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111101111151) 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, 3287295276 + ... + 3287326033.

It is an arithmetic number, because the mean of its divisors is an integer number (7823799358900).

Almost surely, 2^{101111101111111} is an apocalyptic number.

101111101111111 is a deficient number, since it is larger than the sum of its proper divisors (24069688631289).

101111101111111 is an frugal number, since it uses more digits than its factorization.

101111101111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6574621355 (or 6574621329 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 13.

Adding to 101111101111111 its reverse (111111101111101), we get a palindrome (212222202222212).

It can be divided in two parts, 101111101 and 111111, that multiplied together give a palindrome (11234555543211).

The spelling of 101111101111111 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred eleven".