101122444221101 has 4 divisors (see below), whose sum is σ = 101122735738332. Its totient is φ = 101122152703872.

The previous prime is 101122444221077. The next prime is 101122444221133.

It is a happy number.

101122444221101 is nontrivially palindromic in base 10.

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 57495428465476 + 43627015755625 = 7582574^2 + 6605075^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122444221101 - 2³⁰ = 101121370479277 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 (101122444221301) 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, 145237670 + ... + 145932263.

It is an arithmetic number, because the mean of its divisors is an integer number (25280683934583).

Almost surely, 2^{101122444221101} is an apocalyptic number.

It is an amenable number.

101122444221101 is a deficient number, since it is larger than the sum of its proper divisors (291517231).

101122444221101 is an equidigital number, since it uses as much as digits as its factorization.

101122444221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291517230.

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 101122444221101 in words is "one hundred one trillion, one hundred twenty-two billion, four hundred forty-four million, two hundred twenty-one thousand, one hundred one".