10022102202001 has 2 divisors, whose sum is σ = 10022102202002. Its totient is φ = 10022102202000.

The previous prime is 10022102201963. The next prime is 10022102202011. The reversal of 10022102202001 is 10020220122001.

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., 9118129101376 + 903973100625 = 3019624^2 + 950775^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022102202001 - 2³⁷ = 9884663248529 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022102202011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011051101000 + 5011051101001.

It is an arithmetic number, because the mean of its divisors is an integer number (5011051101001).

Almost surely, 2^{10022102202001} is an apocalyptic number.

It is an amenable number.

10022102202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022102202001 is an equidigital number, since it uses as much as digits as its factorization.

10022102202001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10022102202001 its reverse (10020220122001), we get a palindrome (20042322324002).

The spelling of 10022102202001 in words is "ten trillion, twenty-two billion, one hundred two million, two hundred two thousand, one".