2121131311097 has 2 divisors, whose sum is σ = 2121131311098. Its totient is φ = 2121131311096.

The previous prime is 2121131311043. The next prime is 2121131311127. The reversal of 2121131311097 is 7901131311212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1555380628201 + 565750682896 = 1247149^2 + 752164^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121131311097 - 2⁸ = 2121131310841 is a prime.

It is a super-3 number, since 3×2121131311097³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2121131211097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060565655548 + 1060565655549.

It is an arithmetic number, because the mean of its divisors is an integer number (1060565655549).

Almost surely, 2^{2121131311097} is an apocalyptic number.

It is an amenable number.

2121131311097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121131311097 is an equidigital number, since it uses as much as digits as its factorization.

2121131311097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 32.

The spelling of 2121131311097 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred eleven thousand, ninety-seven".