22122101110001 has 2 divisors, whose sum is σ = 22122101110002. Its totient is φ = 22122101110000.

The previous prime is 22122101109907. The next prime is 22122101110013. The reversal of 22122101110001 is 10001110122122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14442280090000 + 7679821020001 = 3800300^2 + 2771249^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122101110001 - 2¹⁸ = 22122100847857 is a prime.

It is a super-2 number, since 2×22122101110001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22122101130001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061050555000 + 11061050555001.

It is an arithmetic number, because the mean of its divisors is an integer number (11061050555001).

Almost surely, 2^{22122101110001} is an apocalyptic number.

It is an amenable number.

22122101110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122101110001 is an equidigital number, since it uses as much as digits as its factorization.

22122101110001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22122101110001 its reverse (10001110122122), we get a palindrome (32123211232123).

The spelling of 22122101110001 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred one million, one hundred ten thousand, one".