101122301032037 has 2 divisors, whose sum is σ = 101122301032038. Its totient is φ = 101122301032036.

The previous prime is 101122301032021. The next prime is 101122301032043. The reversal of 101122301032037 is 730230103221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87719445929956 + 13402855102081 = 9365866^2 + 3660991^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122301032037 - 2⁴ = 101122301032021 is a prime.

It is a super-2 number, since 2×101122301032037² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122301031997 and 101122301032015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122301032097) 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, 50561150516018 + 50561150516019.

It is an arithmetic number, because the mean of its divisors is an integer number (50561150516019).

Almost surely, 2^{101122301032037} is an apocalyptic number.

It is an amenable number.

101122301032037 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122301032037 is an equidigital number, since it uses as much as digits as its factorization.

101122301032037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 101122301032037 its reverse (730230103221101), we get a palindrome (831352404253138).

The spelling of 101122301032037 in words is "one hundred one trillion, one hundred twenty-two billion, three hundred one million, thirty-two thousand, thirty-seven".