100001110010101 has 16 divisors (see below), whose sum is σ = 104500125677808. Its totient is φ = 95604672217600.

The previous prime is 100001110010089. The next prime is 100001110010111. The reversal of 100001110010101 is 101010011100001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 235991924100 + 99765118086001 = 485790^2 + 9988249^2 .

It is not a de Polignac number, because 100001110010101 - 2⁵ = 100001110010069 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 (100001110010111) 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, 26242666 + ... + 29810731.

It is an arithmetic number, because the mean of its divisors is an integer number (6531257854863).

Almost surely, 2^{100001110010101} is an apocalyptic number.

It is an amenable number.

100001110010101 is a deficient number, since it is larger than the sum of its proper divisors (4499015667707).

100001110010101 is an equidigital number, since it uses as much as digits as its factorization.

100001110010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56054312.

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

Adding to 100001110010101 its reverse (101010011100001), we get a palindrome (201011121110102).

The spelling of 100001110010101 in words is "one hundred trillion, one billion, one hundred ten million, ten thousand, one hundred one".