10022113109 has 2 divisors, whose sum is σ = 10022113110. Its totient is φ = 10022113108.

The previous prime is 10022113091. The next prime is 10022113111. The reversal of 10022113109 is 90131122001.

Together with previous prime (10022113091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8528522500 + 1493590609 = 92350^2 + 38647^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022113109 - 2¹⁶ = 10022047573 is a prime.

Together with 10022113111, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022413109) 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, 5011056554 + 5011056555.

It is an arithmetic number, because the mean of its divisors is an integer number (5011056555).

Almost surely, 2^10022113109 is an apocalyptic number.

It is an amenable number.

10022113109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022113109 is an equidigital number, since it uses as much as digits as its factorization.

10022113109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 10022113109 in words is "ten billion, twenty-two million, one hundred thirteen thousand, one hundred nine".