2122121131337 has 2 divisors, whose sum is σ = 2122121131338. Its totient is φ = 2122121131336.

The previous prime is 2122121131271. The next prime is 2122121131363. The reversal of 2122121131337 is 7331311212212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1651595100736 + 470526030601 = 1285144^2 + 685949^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122121131337 - 2¹⁰ = 2122121130313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122121131937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061060565668 + 1061060565669.

It is an arithmetic number, because the mean of its divisors is an integer number (1061060565669).

Almost surely, 2^{2122121131337} is an apocalyptic number.

It is an amenable number.

2122121131337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122121131337 is an equidigital number, since it uses as much as digits as its factorization.

2122121131337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 29.

Adding to 2122121131337 its reverse (7331311212212), we get a palindrome (9453432343549).

The spelling of 2122121131337 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred thirty-seven".