101122222221101 has 16 divisors (see below), whose sum is σ = 104278022347248. Its totient is φ = 98028691200000.

The previous prime is 101122222221061. The next prime is 101122222221151.

101122222221101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 6055315170025 + 95066907051076 = 2460755^2 + 9750226^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122222221101 - 2³⁰ = 101121148479277 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122222221151) 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, 49045400 + ... + 51065601.

It is an arithmetic number, because the mean of its divisors is an integer number (6517376396703).

Almost surely, 2^{101122222221101} is an apocalyptic number.

It is an amenable number.

101122222221101 is a deficient number, since it is larger than the sum of its proper divisors (3155800126147).

101122222221101 is a wasteful number, since it uses less digits than its factorization.

101122222221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100111312.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 101122222221101 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred one".