101010100111101 has 24 divisors (see below), whose sum is σ = 157154296933920. Its totient is φ = 62312228215776.

The previous prime is 101010100111091. The next prime is 101010100111121. The reversal of 101010100111101 is 101111001010101.

It is not a de Polignac number, because 101010100111101 - 2¹¹ = 101010100109053 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 (101010100111121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6868624506 + ... + 6868639211.

It is an arithmetic number, because the mean of its divisors is an integer number (6548095705580).

Almost surely, 2^{101010100111101} is an apocalyptic number.

It is an amenable number.

101010100111101 is a deficient number, since it is larger than the sum of its proper divisors (56144196822819).

101010100111101 is a wasteful number, since it uses less digits than its factorization.

101010100111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13737263785 (or 13737263782 counting only the distinct ones).

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

Adding to 101010100111101 its reverse (101111001010101), we get a palindrome (202121101121202).

The spelling of 101010100111101 in words is "one hundred one trillion, ten billion, one hundred million, one hundred eleven thousand, one hundred one".