101011111000101 has 32 divisors (see below), whose sum is σ = 156153771064320. Its totient is φ = 64412334190512.

The previous prime is 101011111000081. The next prime is 101011111000153. The reversal of 101011111000101 is 101000111110101.

It is not a de Polignac number, because 101011111000101 - 2²³ = 101011102611493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011111000201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79880970 + ... + 81135636.

It is an arithmetic number, because the mean of its divisors is an integer number (4879805345760).

Almost surely, 2^{101011111000101} is an apocalyptic number.

It is an amenable number.

101011111000101 is a deficient number, since it is larger than the sum of its proper divisors (55142660064219).

101011111000101 is a wasteful number, since it uses less digits than its factorization.

101011111000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384342 (or 1384336 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101011111000101 its reverse (101000111110101), we get a palindrome (202011222110202).

The spelling of 101011111000101 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred one", and thus it is an aban number.