101010110000111 has 16 divisors (see below), whose sum is σ = 109921433317920. Its totient is φ = 92262912067200.

The previous prime is 101010110000101. The next prime is 101010110000131. The reversal of 101010110000111 is 111000011010101.

It is a cyclic number.

It is not a de Polignac number, because 101010110000111 - 2¹⁰ = 101010109999087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010110000101) 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, 20263625 + ... + 24751458.

It is an arithmetic number, because the mean of its divisors is an integer number (6870089582370).

Almost surely, 2^{101010110000111} is an apocalyptic number.

101010110000111 is a deficient number, since it is larger than the sum of its proper divisors (8911323317809).

101010110000111 is a wasteful number, since it uses less digits than its factorization.

101010110000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45016906.

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

Adding to 101010110000111 its reverse (111000011010101), we get a palindrome (212010121010212).

The spelling of 101010110000111 in words is "one hundred one trillion, ten billion, one hundred ten million, one hundred eleven", and thus it is an aban number.