22131212301001 has 2 divisors, whose sum is σ = 22131212301002. Its totient is φ = 22131212301000.

The previous prime is 22131212300941. The next prime is 22131212301059. The reversal of 22131212301001 is 10010321213122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22111634694601 + 19577606400 = 4702301^2 + 139920^2 .

It is a cyclic number.

It is not a de Polignac number, because 22131212301001 - 2¹⁵ = 22131212268233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22131212301001.

It is not a weakly prime, because it can be changed into another prime (22131212341001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11065606150500 + 11065606150501.

It is an arithmetic number, because the mean of its divisors is an integer number (11065606150501).

Almost surely, 2^{22131212301001} is an apocalyptic number.

It is an amenable number.

22131212301001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22131212301001 is an equidigital number, since it uses as much as digits as its factorization.

22131212301001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 22131212301001 its reverse (10010321213122), we get a palindrome (32141533514123).

The spelling of 22131212301001 in words is "twenty-two trillion, one hundred thirty-one billion, two hundred twelve million, three hundred one thousand, one".