101010110011101 has 24 divisors (see below), whose sum is σ = 149860275757400. Its totient is φ = 65514192183936.

The previous prime is 101010110011087. The next prime is 101010110011171. The reversal of 101010110011101 is 101110011010101.

It can be written as a sum of positive squares in 4 ways, for example, as 7969616948601 + 93040493062500 = 2823051^2 + 9645750^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101010110011101 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010110011171) 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, 9891010 + ... + 17316243.

Almost surely, 2^{101010110011101} is an apocalyptic number.

It is an amenable number.

101010110011101 is a deficient number, since it is larger than the sum of its proper divisors (48850165746299).

101010110011101 is a wasteful number, since it uses less digits than its factorization.

101010110011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27218445 (or 27218442 counting only the distinct ones).

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

Adding to 101010110011101 its reverse (101110011010101), we get a palindrome (202120121021202).

The spelling of 101010110011101 in words is "one hundred one trillion, ten billion, one hundred ten million, eleven thousand, one hundred one".