10122001320031 has 2 divisors, whose sum is σ = 10122001320032. Its totient is φ = 10122001320030.

The previous prime is 10122001319987. The next prime is 10122001320043. The reversal of 10122001320031 is 13002310022101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10122001320031 - 2²⁵ = 10121967765599 is a prime.

It is a super-2 number, since 2×10122001320031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122001319987 and 10122001320014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122001320071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061000660015 + 5061000660016.

It is an arithmetic number, because the mean of its divisors is an integer number (5061000660016).

Almost surely, 2^{10122001320031} is an apocalyptic number.

10122001320031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122001320031 is an equidigital number, since it uses as much as digits as its factorization.

10122001320031 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 16.

Adding to 10122001320031 its reverse (13002310022101), we get a palindrome (23124311342132).

The spelling of 10122001320031 in words is "ten trillion, one hundred twenty-two billion, one million, three hundred twenty thousand, thirty-one".