2121020303137 has 2 divisors, whose sum is σ = 2121020303138. Its totient is φ = 2121020303136.

The previous prime is 2121020303029. The next prime is 2121020303249. The reversal of 2121020303137 is 7313030201212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1073132318241 + 1047887984896 = 1035921^2 + 1023664^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121020303137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121027303137) 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, 1060510151568 + 1060510151569.

It is an arithmetic number, because the mean of its divisors is an integer number (1060510151569).

Almost surely, 2^{2121020303137} is an apocalyptic number.

It is an amenable number.

2121020303137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121020303137 is an equidigital number, since it uses as much as digits as its factorization.

2121020303137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 2121020303137 its reverse (7313030201212), we get a palindrome (9434050504349).

The spelling of 2121020303137 in words is "two trillion, one hundred twenty-one billion, twenty million, three hundred three thousand, one hundred thirty-seven".