101122221012031 has 2 divisors, whose sum is σ = 101122221012032. Its totient is φ = 101122221012030.

The previous prime is 101122221011969. The next prime is 101122221012037. The reversal of 101122221012031 is 130210122221101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101122221012031 - 2¹¹ = 101122221009983 is a prime.

It is a super-2 number, since 2×101122221012031² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122221012037) 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 as a sum of consecutive naturals, namely, 50561110506015 + 50561110506016.

It is an arithmetic number, because the mean of its divisors is an integer number (50561110506016).

Almost surely, 2^{101122221012031} is an apocalyptic number.

101122221012031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122221012031 is an equidigital number, since it uses as much as digits as its factorization.

101122221012031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101122221012031 its reverse (130210122221101), we get a palindrome (231332343233132).

The spelling of 101122221012031 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, twelve thousand, thirty-one".