101001000110101 has 16 divisors (see below), whose sum is σ = 124310079639424. Its totient is φ = 79912135790784.

The previous prime is 101001000110093. The next prime is 101001000110119. The reversal of 101001000110101 is 101011000100101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101001000110101 - 2³ = 101001000110093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001000110161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4777666 + ... + 14994268.

It is an arithmetic number, because the mean of its divisors is an integer number (7769379977464).

Almost surely, 2^{101001000110101} is an apocalyptic number.

It is an amenable number.

101001000110101 is a deficient number, since it is larger than the sum of its proper divisors (23309079529323).

101001000110101 is a wasteful number, since it uses less digits than its factorization.

101001000110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10325260.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101001000110101 its reverse (101011000100101), we get a palindrome (202012000210202).

It can be divided in two parts, 101001000 and 110101, that added together give a palindrome (101111101).

The spelling of 101001000110101 in words is "one hundred one trillion, one billion, one hundred ten thousand, one hundred one".