10001121121331 has 2 divisors, whose sum is σ = 10001121121332. Its totient is φ = 10001121121330.

The previous prime is 10001121121291. The next prime is 10001121121349. The reversal of 10001121121331 is 13312112110001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001121121331 is a prime.

It is a super-2 number, since 2×10001121121331² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001121121391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000560560665 + 5000560560666.

It is an arithmetic number, because the mean of its divisors is an integer number (5000560560666).

Almost surely, 2^{10001121121331} is an apocalyptic number.

10001121121331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001121121331 is an equidigital number, since it uses as much as digits as its factorization.

10001121121331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10001121121331 its reverse (13312112110001), we get a palindrome (23313233231332).

The spelling of 10001121121331 in words is "ten trillion, one billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred thirty-one".