101021122003313 has 2 divisors, whose sum is σ = 101021122003314. Its totient is φ = 101021122003312.

The previous prime is 101021122003279. The next prime is 101021122003343. The reversal of 101021122003313 is 313300221120101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88020648052624 + 13000473950689 = 9381932^2 + 3605617^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021122003313 - 2²⁰ = 101021120954737 is a prime.

It is not a weakly prime, because it can be changed into another prime (101021122003343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510561001656 + 50510561001657.

It is an arithmetic number, because the mean of its divisors is an integer number (50510561001657).

Almost surely, 2^{101021122003313} is an apocalyptic number.

It is an amenable number.

101021122003313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021122003313 is an equidigital number, since it uses as much as digits as its factorization.

101021122003313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101021122003313 its reverse (313300221120101), we get a palindrome (414321343123414).

The spelling of 101021122003313 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, three thousand, three hundred thirteen".