10020022313201 has 2 divisors, whose sum is σ = 10020022313202. Its totient is φ = 10020022313200.

The previous prime is 10020022313159. The next prime is 10020022313243. The reversal of 10020022313201 is 10231322002001.

It is a balanced prime because it is at equal distance from previous prime (10020022313159) and next prime (10020022313243).

It can be written as a sum of positive squares in only one way, i.e., 6937455549025 + 3082566764176 = 2633905^2 + 1755724^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020022313201 - 2⁴² = 5621975802097 is a prime.

It is a super-3 number, since 3×10020022313201³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10020022313201.

It is not a weakly prime, because it can be changed into another prime (10020022313251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010011156600 + 5010011156601.

It is an arithmetic number, because the mean of its divisors is an integer number (5010011156601).

Almost surely, 2^{10020022313201} is an apocalyptic number.

It is an amenable number.

10020022313201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020022313201 is an equidigital number, since it uses as much as digits as its factorization.

10020022313201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10020022313201 its reverse (10231322002001), we get a palindrome (20251344315202).

The spelling of 10020022313201 in words is "ten trillion, twenty billion, twenty-two million, three hundred thirteen thousand, two hundred one".