22121100031 has 2 divisors, whose sum is σ = 22121100032. Its totient is φ = 22121100030.

The previous prime is 22121100013. The next prime is 22121100047. The reversal of 22121100031 is 13000112122.

Together with previous prime (22121100013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 22121100031 - 2⁹ = 22121099519 is a prime.

It is a super-2 number, since 2×22121100031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22121099984 and 22121100020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121100061) 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, 11060550015 + 11060550016.

It is an arithmetic number, because the mean of its divisors is an integer number (11060550016).

Almost surely, 2^22121100031 is an apocalyptic number.

22121100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121100031 is an equidigital number, since it uses as much as digits as its factorization.

22121100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 22121100031 its reverse (13000112122), we get a palindrome (35121212153).

The spelling of 22121100031 in words is "twenty-two billion, one hundred twenty-one million, one hundred thousand, thirty-one".