101031221223101 has 16 divisors (see below), whose sum is σ = 108859380999600. Its totient is φ = 93211149358080.

The previous prime is 101031221223083. The next prime is 101031221223161. The reversal of 101031221223101 is 101322122130101.

It can be written as a sum of positive squares in 8 ways, for example, as 50207853062500 + 50823368160601 = 7085750^2 + 7129051^2 .

It is not a de Polignac number, because 101031221223101 - 2¹⁰ = 101031221222077 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 (101031221223161) 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, 195520325 + ... + 196036373.

It is an arithmetic number, because the mean of its divisors is an integer number (6803711312475).

Almost surely, 2^{101031221223101} is an apocalyptic number.

It is an amenable number.

101031221223101 is a deficient number, since it is larger than the sum of its proper divisors (7828159776499).

101031221223101 is a wasteful number, since it uses less digits than its factorization.

101031221223101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523856.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101031221223101 its reverse (101322122130101), we get a palindrome (202353343353202).

The spelling of 101031221223101 in words is "one hundred one trillion, thirty-one billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred one".