101100111010121 has 8 divisors (see below), whose sum is σ = 101224219081800. Its totient is φ = 100976008129920.

The previous prime is 101100111010117. The next prime is 101100111010177. The reversal of 101100111010121 is 121010111001101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7264776855625 + 93835334154496 = 2695325^2 + 9686864^2 .

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 101100111010121 - 2² = 101100111010117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100111010111) 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 7 ways as a sum of consecutive naturals, for example, 38419835 + ... + 40966863.

It is an arithmetic number, because the mean of its divisors is an integer number (12653027385225).

Almost surely, 2^{101100111010121} is an apocalyptic number.

It is an amenable number.

101100111010121 is a deficient number, since it is larger than the sum of its proper divisors (124108071679).

101100111010121 is an equidigital number, since it uses as much as digits as its factorization.

101100111010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595739.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101100111010121 its reverse (121010111001101), we get a palindrome (222110222011222).

The spelling of 101100111010121 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, ten thousand, one hundred twenty-one".