10010002200001 has 2 divisors, whose sum is σ = 10010002200002. Its totient is φ = 10010002200000.

The previous prime is 10010002199929. The next prime is 10010002200017. The reversal of 10010002200001 is 10000220001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9301273940401 + 708728259600 = 3049799^2 + 841860^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010002200001 - 2³⁵ = 9975642461633 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010002200041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005001100000 + 5005001100001.

It is an arithmetic number, because the mean of its divisors is an integer number (5005001100001).

Almost surely, 2^{10010002200001} is an apocalyptic number.

It is an amenable number.

10010002200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010002200001 is an equidigital number, since it uses as much as digits as its factorization.

10010002200001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10010002200001 its reverse (10000220001001), we get a palindrome (20010222201002).

The spelling of 10010002200001 in words is "ten trillion, ten billion, two million, two hundred thousand, one".