100110100101001 has 4 divisors (see below), whose sum is σ = 102551809859604. Its totient is φ = 97668390342400.

The previous prime is 100110100100953. The next prime is 100110100101017. The reversal of 100110100101001 is 100101001011001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 47878027166025 + 52232072934976 = 6919395^2 + 7227176^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110100101001 - 2¹⁵ = 100110100068233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110100101061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1220854879240 + ... + 1220854879321.

It is an arithmetic number, because the mean of its divisors is an integer number (25637952464901).

Almost surely, 2^{100110100101001} is an apocalyptic number.

It is an amenable number.

100110100101001 is a deficient number, since it is larger than the sum of its proper divisors (2441709758603).

100110100101001 is an equidigital number, since it uses as much as digits as its factorization.

100110100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441709758602.

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

Adding to 100110100101001 its reverse (100101001011001), we get a palindrome (200211101112002).

The spelling of 100110100101001 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred one thousand, one".