101000000111111 has 16 divisors (see below), whose sum is σ = 106439782924800. Its totient is φ = 95651760172320.

The previous prime is 101000000111099. The next prime is 101000000111113. The reversal of 101000000111111 is 111111000000101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000000111111 is a prime.

It is a Duffinian number.

101000000111111 is a modest number, since divided by 111111 gives 101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000000111113) 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, 46316585 + ... + 48448178.

It is an arithmetic number, because the mean of its divisors is an integer number (6652486432800).

Almost surely, 2^{101000000111111} is an apocalyptic number.

101000000111111 is a deficient number, since it is larger than the sum of its proper divisors (5439782813689).

101000000111111 is a wasteful number, since it uses less digits than its factorization.

101000000111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94765246.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101000000111111 its reverse (111111000000101), we get a palindrome (212111000111212).

The spelling of 101000000111111 in words is "one hundred one trillion, one hundred eleven thousand, one hundred eleven".