10001122022291 has 2 divisors, whose sum is σ = 10001122022292. Its totient is φ = 10001122022290.

The previous prime is 10001122022161. The next prime is 10001122022317. The reversal of 10001122022291 is 19222022110001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001122022291 is a prime.

It is a super-3 number, since 3×10001122022291³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10001122022791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000561011145 + 5000561011146.

It is an arithmetic number, because the mean of its divisors is an integer number (5000561011146).

Almost surely, 2^{10001122022291} is an apocalyptic number.

10001122022291 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001122022291 is an equidigital number, since it uses as much as digits as its factorization.

10001122022291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 10001122022291 its reverse (19222022110001), we get a palindrome (29223144132292).

The spelling of 10001122022291 in words is "ten trillion, one billion, one hundred twenty-two million, twenty-two thousand, two hundred ninety-one".