10122110401331 has 2 divisors, whose sum is σ = 10122110401332. Its totient is φ = 10122110401330.

The previous prime is 10122110401297. The next prime is 10122110401391. The reversal of 10122110401331 is 13310401122101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10122110401331 - 2¹⁸ = 10122110139187 is a prime.

It is a super-2 number, since 2×10122110401331² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10122110401391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061055200665 + 5061055200666.

It is an arithmetic number, because the mean of its divisors is an integer number (5061055200666).

Almost surely, 2^{10122110401331} is an apocalyptic number.

10122110401331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122110401331 is an equidigital number, since it uses as much as digits as its factorization.

10122110401331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10122110401331 its reverse (13310401122101), we get a palindrome (23432511523432).

The spelling of 10122110401331 in words is "ten trillion, one hundred twenty-two billion, one hundred ten million, four hundred one thousand, three hundred thirty-one".