22112201001001 has 2 divisors, whose sum is σ = 22112201001002. Its totient is φ = 22112201001000.

The previous prime is 22112201000969. The next prime is 22112201001017. The reversal of 22112201001001 is 10010010221122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22050349808400 + 61851192601 = 4695780^2 + 248699^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112201001001 - 2⁵ = 22112201000969 is a prime.

It is not a weakly prime, because it can be changed into another prime (22112201001041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056100500500 + 11056100500501.

It is an arithmetic number, because the mean of its divisors is an integer number (11056100500501).

Almost surely, 2^{22112201001001} is an apocalyptic number.

It is an amenable number.

22112201001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112201001001 is an equidigital number, since it uses as much as digits as its factorization.

22112201001001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 22112201001001 its reverse (10010010221122), we get a palindrome (32122211222123).

The spelling of 22112201001001 in words is "twenty-two trillion, one hundred twelve billion, two hundred one million, one thousand, one".