101010110101101 has 6 divisors (see below), whose sum is σ = 145903492368270. Its totient is φ = 67340073400728.

The previous prime is 101010110101093. The next prime is 101010110101171. The reversal of 101010110101101 is 101101011010101.

It can be written as a sum of positive squares in only one way, i.e., 87259399943076 + 13750710158025 = 9341274^2 + 3708195^2 .

It is not a de Polignac number, because 101010110101101 - 2³ = 101010110101093 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: 11223345566789 = 101010110101101 / (1 + 0 + 1 + 0 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 1 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010110101171) 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, 5611672783386 + ... + 5611672783403.

It is an arithmetic number, because the mean of its divisors is an integer number (24317248728045).

Almost surely, 2^{101010110101101} is an apocalyptic number.

It is an amenable number.

101010110101101 is a deficient number, since it is larger than the sum of its proper divisors (44893382267169).

101010110101101 is a wasteful number, since it uses less digits than its factorization.

101010110101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11223345566795 (or 11223345566792 counting only the distinct ones).

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

Adding to 101010110101101 its reverse (101101011010101), we get a palindrome (202111121111202).

The spelling of 101010110101101 in words is "one hundred one trillion, ten billion, one hundred ten million, one hundred one thousand, one hundred one".