10001112022331 has 2 divisors, whose sum is σ = 10001112022332. Its totient is φ = 10001112022330.

The previous prime is 10001112022303. The next prime is 10001112022333. The reversal of 10001112022331 is 13322021110001.

10001112022331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (13322021110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001112022331 - 2²⁶ = 10001044913467 is a prime.

It is a super-2 number, since 2×10001112022331² (a number of 27 digits) contains 22 as substring.

Together with 10001112022333, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10001112022333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000556011165 + 5000556011166.

It is an arithmetic number, because the mean of its divisors is an integer number (5000556011166).

Almost surely, 2^{10001112022331} is an apocalyptic number.

10001112022331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001112022331 is an equidigital number, since it uses as much as digits as its factorization.

10001112022331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10001112022331 its reverse (13322021110001), we get a palindrome (23323133132332).

The spelling of 10001112022331 in words is "ten trillion, one billion, one hundred twelve million, twenty-two thousand, three hundred thirty-one".