22112121111001 has 2 divisors, whose sum is σ = 22112121111002. Its totient is φ = 22112121111000.

The previous prime is 22112121110987. The next prime is 22112121111019. The reversal of 22112121111001 is 10011112121122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21693284336025 + 418836774976 = 4657605^2 + 647176^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112121111001 - 2¹³ = 22112121102809 is a prime.

It is not a weakly prime, because it can be changed into another prime (22112121111701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056060555500 + 11056060555501.

It is an arithmetic number, because the mean of its divisors is an integer number (11056060555501).

Almost surely, 2^{22112121111001} is an apocalyptic number.

It is an amenable number.

22112121111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112121111001 is an equidigital number, since it uses as much as digits as its factorization.

22112121111001 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 16.

Adding to 22112121111001 its reverse (10011112121122), we get a palindrome (32123233232123).

The spelling of 22112121111001 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, one".