101122321031 has 2 divisors, whose sum is σ = 101122321032. Its totient is φ = 101122321030.

The previous prime is 101122320989. The next prime is 101122321049. The reversal of 101122321031 is 130123221101.

It is a strong prime.

It is an emirp because it is prime and its reverse (130123221101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101122321031 - 2³⁴ = 83942451847 is a prime.

It is a super-2 number, since 2×101122321031² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122326031) 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, 50561160515 + 50561160516.

It is an arithmetic number, because the mean of its divisors is an integer number (50561160516).

Almost surely, 2^101122321031 is an apocalyptic number.

101122321031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122321031 is an equidigital number, since it uses as much as digits as its factorization.

101122321031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101122321031 its reverse (130123221101), we get a palindrome (231245542132).

The spelling of 101122321031 in words is "one hundred one billion, one hundred twenty-two million, three hundred twenty-one thousand, thirty-one".