101122210131321 has 32 divisors (see below), whose sum is σ = 146952297936000. Its totient is φ = 61608755755008.

The previous prime is 101122210131307. The next prime is 101122210131367. The reversal of 101122210131321 is 123131012221101.

It is not a de Polignac number, because 101122210131321 - 2¹¹ = 101122210129273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122210131421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25747960 + ... + 29414313.

It is an arithmetic number, because the mean of its divisors is an integer number (4592259310500).

Almost surely, 2^{101122210131321} is an apocalyptic number.

It is an amenable number.

101122210131321 is a deficient number, since it is larger than the sum of its proper divisors (45830087804679).

101122210131321 is a wasteful number, since it uses less digits than its factorization.

101122210131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55163433.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101122210131321 its reverse (123131012221101), we get a palindrome (224253222352422).

The spelling of 101122210131321 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred ten million, one hundred thirty-one thousand, three hundred twenty-one".