1100120121337 has 2 divisors, whose sum is σ = 1100120121338. Its totient is φ = 1100120121336.

The previous prime is 1100120121259. The next prime is 1100120121343. The reversal of 1100120121337 is 7331210210011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 782267722681 + 317852398656 = 884459^2 + 563784^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100120121337 - 2¹⁵ = 1100120088569 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100120121137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550060060668 + 550060060669.

It is an arithmetic number, because the mean of its divisors is an integer number (550060060669).

Almost surely, 2^{1100120121337} is an apocalyptic number.

It is an amenable number.

1100120121337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100120121337 is an equidigital number, since it uses as much as digits as its factorization.

1100120121337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 1100120121337 its reverse (7331210210011), we get a palindrome (8431330331348).

The spelling of 1100120121337 in words is "one trillion, one hundred billion, one hundred twenty million, one hundred twenty-one thousand, three hundred thirty-seven".