101321220110031 has 16 divisors (see below), whose sum is σ = 150129005896800. Its totient is φ = 67536907493184.

The previous prime is 101321220109943. The next prime is 101321220110081. The reversal of 101321220110031 is 130011022123101.

101321220110031 is a `hidden beast` number, since 10 + 1 + 321 + 2 + 201 + 100 + 31 = 666.

It is not a de Polignac number, because 101321220110031 - 2¹⁰ = 101321220109007 is a prime.

It is a super-2 number, since 2×101321220110031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101321220109986 and 101321220110013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321220110081) 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, 293507086 + ... + 293852091.

It is an arithmetic number, because the mean of its divisors is an integer number (9383062868550).

Almost surely, 2^{101321220110031} is an apocalyptic number.

101321220110031 is a deficient number, since it is larger than the sum of its proper divisors (48807785786769).

101321220110031 is an equidigital number, since it uses as much as digits as its factorization.

101321220110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587365575 (or 587365569 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101321220110031 its reverse (130011022123101), we get a palindrome (231332242233132).

The spelling of 101321220110031 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty million, one hundred ten thousand, thirty-one".