101100101001101 has 8 divisors (see below), whose sum is σ = 101414068358040. Its totient is φ = 100786431670848.

The previous prime is 101100101001091. The next prime is 101100101001127.

101100101001101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 442423192201 + 100657677808900 = 665149^2 + 10032830^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101100101001101 - 2²⁶ = 101100033892237 is a prime.

101100101001101 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100101601101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73827146 + ... + 75184091.

It is an arithmetic number, because the mean of its divisors is an integer number (12676758544755).

Almost surely, 2^{101100101001101} is an apocalyptic number.

It is an amenable number.

101100101001101 is a deficient number, since it is larger than the sum of its proper divisors (313967356939).

101100101001101 is a wasteful number, since it uses less digits than its factorization.

101100101001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149013343.

The product of its (nonzero) digits is 1, while the sum is 8.

It can be divided in two parts, 10110010 and 1001101, that added together give a palindrome (11111111).

The spelling of 101100101001101 in words is "one hundred one trillion, one hundred billion, one hundred one million, one thousand, one hundred one".