10400001422201 has 2 divisors, whose sum is σ = 10400001422202. Its totient is φ = 10400001422200.

The previous prime is 10400001422191. The next prime is 10400001422207. The reversal of 10400001422201 is 10222410000401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8950508227600 + 1449493194601 = 2991740^2 + 1203949^2 .

It is an emirp because it is prime and its reverse (10222410000401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10400001422201 - 2⁶ = 10400001422137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10400001422201.

It is not a weakly prime, because it can be changed into another prime (10400001422207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200000711100 + 5200000711101.

It is an arithmetic number, because the mean of its divisors is an integer number (5200000711101).

Almost surely, 2^{10400001422201} is an apocalyptic number.

It is an amenable number.

10400001422201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400001422201 is an equidigital number, since it uses as much as digits as its factorization.

10400001422201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10400001422201 its reverse (10222410000401), we get a palindrome (20622411422602).

The spelling of 10400001422201 in words is "ten trillion, four hundred billion, one million, four hundred twenty-two thousand, two hundred one".