101111100000011 has 16 divisors (see below), whose sum is σ = 102116389125504. Its totient is φ = 100110611487744.

The previous prime is 101111099999983. The next prime is 101111100000059. The reversal of 101111100000011 is 110000001111101.

It is a cyclic number.

It is not a de Polignac number, because 101111100000011 - 2³⁰ = 101110026258187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111100000091) 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, 138853310 + ... + 139579596.

It is an arithmetic number, because the mean of its divisors is an integer number (6382274320344).

Almost surely, 2^{101111100000011} is an apocalyptic number.

101111100000011 is a deficient number, since it is larger than the sum of its proper divisors (1005289125493).

101111100000011 is a wasteful number, since it uses less digits than its factorization.

101111100000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729590.

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

Adding to 101111100000011 its reverse (110000001111101), we get a palindrome (211111101111112).

The spelling of 101111100000011 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, eleven", and thus it is an aban number.