10002022361 has 2 divisors, whose sum is σ = 10002022362. Its totient is φ = 10002022360.

The previous prime is 10002022343. The next prime is 10002022379. The reversal of 10002022361 is 16322020001.

It is a balanced prime because it is at equal distance from previous prime (10002022343) and next prime (10002022379).

It can be written as a sum of positive squares in only one way, i.e., 7251544336 + 2750478025 = 85156^2 + 52445^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002022361 - 2¹⁴ = 10002005977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002022321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001011180 + 5001011181.

It is an arithmetic number, because the mean of its divisors is an integer number (5001011181).

Almost surely, 2^10002022361 is an apocalyptic number.

It is an amenable number.

10002022361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002022361 is an equidigital number, since it uses as much as digits as its factorization.

10002022361 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10002022361 its reverse (16322020001), we get a palindrome (26324042362).

The spelling of 10002022361 in words is "ten billion, two million, twenty-two thousand, three hundred sixty-one".