101122311321 has 12 divisors (see below), whose sum is σ = 146390879700. Its totient is φ = 67264727040.

The previous prime is 101122311319. The next prime is 101122311341. The reversal of 101122311321 is 123113221101.

101122311321 is a `hidden beast` number, since 1 + 0 + 11 + 22 + 311 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63220062096 + 37902249225 = 251436^2 + 194685^2 .

It is not a de Polignac number, because 101122311321 - 2¹ = 101122311319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122311294 and 101122311303.

It is not an unprimeable number, because it can be changed into a prime (101122311341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12508000 + ... + 12516081.

It is an arithmetic number, because the mean of its divisors is an integer number (12199239975).

Almost surely, 2^101122311321 is an apocalyptic number.

It is an amenable number.

101122311321 is a deficient number, since it is larger than the sum of its proper divisors (45268568379).

101122311321 is a wasteful number, since it uses less digits than its factorization.

101122311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25024536 (or 25024533 counting only the distinct ones).

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

Adding to 101122311321 its reverse (123113221101), we get a palindrome (224235532422).

The spelling of 101122311321 in words is "one hundred one billion, one hundred twenty-two million, three hundred eleven thousand, three hundred twenty-one".