101001100111101 has 6 divisors (see below), whose sum is σ = 145890477938270. Its totient is φ = 67334066740728.

The previous prime is 101001100111069. The next prime is 101001100111133. The reversal of 101001100111101 is 101111001100101.

It is an interprime number because it is at equal distance from previous prime (101001100111069) and next prime (101001100111133).

It can be written as a sum of positive squares in only one way, i.e., 96835459931001 + 4165640180100 = 9840501^2 + 2040990^2 .

It is not a de Polignac number, because 101001100111101 - 2⁵ = 101001100111069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11222344456789 = 101001100111101 / (1 + 0 + 1 + 0 + 0 + 1 + 1 + 0 + 0 + 1 + 1 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001100111001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611172228386 + ... + 5611172228403.

Almost surely, 2^{101001100111101} is an apocalyptic number.

It is an amenable number.

101001100111101 is a deficient number, since it is larger than the sum of its proper divisors (44889377827169).

101001100111101 is a wasteful number, since it uses less digits than its factorization.

101001100111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222344456795 (or 11222344456792 counting only the distinct ones).

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

Adding to 101001100111101 its reverse (101111001100101), we get a palindrome (202112101211202).

The spelling of 101001100111101 in words is "one hundred one trillion, one billion, one hundred million, one hundred eleven thousand, one hundred one".