10222100400013 has 2 divisors, whose sum is σ = 10222100400014. Its totient is φ = 10222100400012.

The previous prime is 10222100400007. The next prime is 10222100400023. The reversal of 10222100400013 is 31000400122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6843257185444 + 3378843214569 = 2615962^2 + 1838163^2 .

It is an emirp because it is prime and its reverse (31000400122201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10222100400013 - 2¹³ = 10222100391821 is a prime.

It is a super-2 number, since 2×10222100400013² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10222100400013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222100400023) 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, 5111050200006 + 5111050200007.

It is an arithmetic number, because the mean of its divisors is an integer number (5111050200007).

Almost surely, 2^{10222100400013} is an apocalyptic number.

It is an amenable number.

10222100400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222100400013 is an equidigital number, since it uses as much as digits as its factorization.

10222100400013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10222100400013 its reverse (31000400122201), we get a palindrome (41222500522214).

The spelling of 10222100400013 in words is "ten trillion, two hundred twenty-two billion, one hundred million, four hundred thousand, thirteen".