100022113213213 has 2 divisors, whose sum is σ = 100022113213214. Its totient is φ = 100022113213212.

The previous prime is 100022113213097. The next prime is 100022113213237. The reversal of 100022113213213 is 312312311220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89241312284644 + 10780800928569 = 9446762^2 + 3283413^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022113213213 - 2¹⁷ = 100022113082141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022113213613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011056606606 + 50011056606607.

It is an arithmetic number, because the mean of its divisors is an integer number (50011056606607).

Almost surely, 2^{100022113213213} is an apocalyptic number.

It is an amenable number.

100022113213213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022113213213 is an equidigital number, since it uses as much as digits as its factorization.

100022113213213 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 22.

Adding to 100022113213213 its reverse (312312311220001), we get a palindrome (412334424433214).

The spelling of 100022113213213 in words is "one hundred trillion, twenty-two billion, one hundred thirteen million, two hundred thirteen thousand, two hundred thirteen".