10001222010113 has 2 divisors, whose sum is σ = 10001222010114. Its totient is φ = 10001222010112.

The previous prime is 10001222010023. The next prime is 10001222010229. The reversal of 10001222010113 is 31101022210001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6202749643024 + 3798472367089 = 2490532^2 + 1948967^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001222010113 - 2¹⁶ = 10001221944577 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001222010613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000611005056 + 5000611005057.

It is an arithmetic number, because the mean of its divisors is an integer number (5000611005057).

Almost surely, 2^{10001222010113} is an apocalyptic number.

It is an amenable number.

10001222010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001222010113 is an equidigital number, since it uses as much as digits as its factorization.

10001222010113 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 14.

Adding to 10001222010113 its reverse (31101022210001), we get a palindrome (41102244220114).

The spelling of 10001222010113 in words is "ten trillion, one billion, two hundred twenty-two million, ten thousand, one hundred thirteen".