101100101011101 has 6 divisors (see below), whose sum is σ = 146033479238270. Its totient is φ = 67400067340728.

The previous prime is 101100101011087. The next prime is 101100101011157. The reversal of 101100101011101 is 101110101001101.

It can be written as a sum of positive squares in only one way, i.e., 76561205005476 + 24538896005625 = 8749926^2 + 4953675^2 .

It is not a de Polignac number, because 101100101011101 - 2⁷ = 101100101010973 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: 11233344556789 = 101100101011101 / (1 + 0 + 1 + 1 + 0 + 0 + 1 + 0 + 1 + 0 + 1 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100101011901) 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, 5616672278386 + ... + 5616672278403.

Almost surely, 2^{101100101011101} is an apocalyptic number.

It is an amenable number.

101100101011101 is a deficient number, since it is larger than the sum of its proper divisors (44933378227169).

101100101011101 is a wasteful number, since it uses less digits than its factorization.

101100101011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11233344556795 (or 11233344556792 counting only the distinct ones).

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

Adding to 101100101011101 its reverse (101110101001101), we get a palindrome (202210202012202).

The spelling of 101100101011101 in words is "one hundred one trillion, one hundred billion, one hundred one million, eleven thousand, one hundred one".