101112322331 has 2 divisors, whose sum is σ = 101112322332. Its totient is φ = 101112322330.

The previous prime is 101112322277. The next prime is 101112322349. The reversal of 101112322331 is 133223211101.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (133223211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101112322331 - 2¹⁰ = 101112321307 is a prime.

It is a super-2 number, since 2×101112322331² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101112322361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556161165 + 50556161166.

It is an arithmetic number, because the mean of its divisors is an integer number (50556161166).

Almost surely, 2^101112322331 is an apocalyptic number.

101112322331 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112322331 is an equidigital number, since it uses as much as digits as its factorization.

101112322331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101112322331 its reverse (133223211101), we get a palindrome (234335533432).

The spelling of 101112322331 in words is "one hundred one billion, one hundred twelve million, three hundred twenty-two thousand, three hundred thirty-one".