22100012020193 has 2 divisors, whose sum is σ = 22100012020194. Its totient is φ = 22100012020192.

The previous prime is 22100012020183. The next prime is 22100012020213. The reversal of 22100012020193 is 39102021000122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12264368210704 + 9835643809489 = 3502052^2 + 3136183^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100012020193 - 2¹⁸ = 22100011758049 is a prime.

It is not a weakly prime, because it can be changed into another prime (22100012020133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050006010096 + 11050006010097.

It is an arithmetic number, because the mean of its divisors is an integer number (11050006010097).

Almost surely, 2^{22100012020193} is an apocalyptic number.

It is an amenable number.

22100012020193 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100012020193 is an equidigital number, since it uses as much as digits as its factorization.

22100012020193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 22100012020193 in words is "twenty-two trillion, one hundred billion, twelve million, twenty thousand, one hundred ninety-three".