22222001041001 has 2 divisors, whose sum is σ = 22222001041002. Its totient is φ = 22222001041000.

The previous prime is 22222001040979. The next prime is 22222001041003. The reversal of 22222001041001 is 10014010022222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12864244728976 + 9357756312025 = 3586676^2 + 3059045^2 .

It is a cyclic number.

It is not a de Polignac number, because 22222001041001 - 2²² = 22221996846697 is a prime.

Together with 22222001041003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22222001041003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111000520500 + 11111000520501.

It is an arithmetic number, because the mean of its divisors is an integer number (11111000520501).

Almost surely, 2^{22222001041001} is an apocalyptic number.

It is an amenable number.

22222001041001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22222001041001 is an equidigital number, since it uses as much as digits as its factorization.

22222001041001 is an evil number, because the sum of its binary digits is even.

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

Adding to 22222001041001 its reverse (10014010022222), we get a palindrome (32236011063223).

The spelling of 22222001041001 in words is "twenty-two trillion, two hundred twenty-two billion, one million, forty-one thousand, one".