101101001000101 has 16 divisors (see below), whose sum is σ = 101697403913280. Its totient is φ = 100506888028800.

The previous prime is 101101001000099. The next prime is 101101001000141. The reversal of 101101001000101 is 101000100101101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101101001000101 - 2¹ = 101101001000099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101001000141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139695510 + ... + 140417368.

It is an arithmetic number, because the mean of its divisors is an integer number (6356087744580).

Almost surely, 2^{101101001000101} is an apocalyptic number.

It is an amenable number.

101101001000101 is a deficient number, since it is larger than the sum of its proper divisors (596402913179).

101101001000101 is an equidigital number, since it uses as much as digits as its factorization.

101101001000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723444.

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

Adding to 101101001000101 its reverse (101000100101101), we get a palindrome (202101101101202).

The spelling of 101101001000101 in words is "one hundred one trillion, one hundred one billion, one million, one hundred one", and thus it is an aban number.