101101100101101 has 12 divisors (see below), whose sum is σ = 146035882477212. Its totient is φ = 67400290273536.

The previous prime is 101101100101091. The next prime is 101101100101151. The reversal of 101101100101101 is 101101001101101.

It can be written as a sum of positive squares in 2 ways, for example, as 28567432212201 + 72533667888900 = 5344851^2 + 8516670^2 .

It is not a de Polignac number, because 101101100101101 - 2¹⁷ = 101101099970029 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 (101101100101151) 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, 35479306 + ... + 38222811.

It is an arithmetic number, because the mean of its divisors is an integer number (12169656873101).

Almost surely, 2^{101101100101101} is an apocalyptic number.

It is an amenable number.

101101100101101 is a deficient number, since it is larger than the sum of its proper divisors (44934782376111).

101101100101101 is a wasteful number, since it uses less digits than its factorization.

101101100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73854540 (or 73854537 counting only the distinct ones).

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

Adding to 101101100101101 its reverse (101101001101101), we get a palindrome (202202101202202).

The spelling of 101101100101101 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred one".