10001012122201 has 2 divisors, whose sum is σ = 10001012122202. Its totient is φ = 10001012122200.

The previous prime is 10001012122181. The next prime is 10001012122249. The reversal of 10001012122201 is 10222121010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7224139826176 + 2776872296025 = 2687776^2 + 1666395^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001012122201 - 2²³ = 10001003733593 is a prime.

It is a super-2 number, since 2×10001012122201² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001012122271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000506061100 + 5000506061101.

It is an arithmetic number, because the mean of its divisors is an integer number (5000506061101).

Almost surely, 2^{10001012122201} is an apocalyptic number.

It is an amenable number.

10001012122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001012122201 is an equidigital number, since it uses as much as digits as its factorization.

10001012122201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10001012122201 its reverse (10222121010001), we get a palindrome (20223133132202).

The spelling of 10001012122201 in words is "ten trillion, one billion, twelve million, one hundred twenty-two thousand, two hundred one".