1021210010137 has 2 divisors, whose sum is σ = 1021210010138. Its totient is φ = 1021210010136.

The previous prime is 1021210010087. The next prime is 1021210010159. The reversal of 1021210010137 is 7310100121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 555227658496 + 465982351641 = 745136^2 + 682629^2 .

It is an emirp because it is prime and its reverse (7310100121201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1021210010137 - 2¹⁵ = 1021209977369 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021210010437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510605005068 + 510605005069.

It is an arithmetic number, because the mean of its divisors is an integer number (510605005069).

Almost surely, 2^{1021210010137} is an apocalyptic number.

It is an amenable number.

1021210010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021210010137 is an equidigital number, since it uses as much as digits as its factorization.

1021210010137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 1021210010137 its reverse (7310100121201), we get a palindrome (8331310131338).

The spelling of 1021210010137 in words is "one trillion, twenty-one billion, two hundred ten million, ten thousand, one hundred thirty-seven".