2120212013137 has 2 divisors, whose sum is σ = 2120212013138. Its totient is φ = 2120212013136.

The previous prime is 2120212013099. The next prime is 2120212013267. The reversal of 2120212013137 is 7313102120212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1968790634496 + 151421378641 = 1403136^2 + 389129^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120212013137 - 2¹¹ = 2120212011089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2120212016137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060106006568 + 1060106006569.

It is an arithmetic number, because the mean of its divisors is an integer number (1060106006569).

Almost surely, 2^{2120212013137} is an apocalyptic number.

It is an amenable number.

2120212013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120212013137 is an equidigital number, since it uses as much as digits as its factorization.

2120212013137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 2120212013137 its reverse (7313102120212), we get a palindrome (9433314133349).

The spelling of 2120212013137 in words is "two trillion, one hundred twenty billion, two hundred twelve million, thirteen thousand, one hundred thirty-seven".