2221811222401 has 2 divisors, whose sum is σ = 2221811222402. Its totient is φ = 2221811222400.

The previous prime is 2221811222387. The next prime is 2221811222417. The reversal of 2221811222401 is 1042221181222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1251489690000 + 970321532401 = 1118700^2 + 985049^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221811222401 - 2⁵ = 2221811222369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2221811222401.

It is not a weakly prime, because it can be changed into another prime (2221811222201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110905611200 + 1110905611201.

It is an arithmetic number, because the mean of its divisors is an integer number (1110905611201).

Almost surely, 2^{2221811222401} is an apocalyptic number.

It is an amenable number.

2221811222401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221811222401 is an equidigital number, since it uses as much as digits as its factorization.

2221811222401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 2221811222401 in words is "two trillion, two hundred twenty-one billion, eight hundred eleven million, two hundred twenty-two thousand, four hundred one".