101100110110101 has 12 divisors (see below), whose sum is σ = 146082154030540. Its totient is φ = 67377614184000.

The previous prime is 101100110110073. The next prime is 101100110110147. The reversal of 101100110110101 is 101011011001101.

It can be written as a sum of positive squares in 2 ways, for example, as 21109016747025 + 79991093363076 = 4594455^2 + 8943774^2 .

It is not a de Polignac number, because 101100110110101 - 2²² = 101100105915797 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 (101100110110001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1871573386 + ... + 1871627403.

Almost surely, 2^{101100110110101} is an apocalyptic number.

It is an amenable number.

101100110110101 is a deficient number, since it is larger than the sum of its proper divisors (44982043920439).

101100110110101 is a wasteful number, since it uses less digits than its factorization.

101100110110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743203796 (or 3743203793 counting only the distinct ones).

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

Adding to 101100110110101 its reverse (101011011001101), we get a palindrome (202111121111202).

It can be divided in two parts, 1011001101 and 10101, that multiplied together give a palindrome (10212122121201).

The spelling of 101100110110101 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred ten thousand, one hundred one".