1021221200137 has 2 divisors, whose sum is σ = 1021221200138. Its totient is φ = 1021221200136.

The previous prime is 1021221200107. The next prime is 1021221200171. The reversal of 1021221200137 is 7310021221201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 993971114361 + 27250085776 = 996981^2 + 165076^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021221200137 - 2³¹ = 1019073716489 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021221200107) 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, 510610600068 + 510610600069.

It is an arithmetic number, because the mean of its divisors is an integer number (510610600069).

Almost surely, 2^{1021221200137} is an apocalyptic number.

It is an amenable number.

1021221200137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021221200137 is an equidigital number, since it uses as much as digits as its factorization.

1021221200137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 1021221200137 its reverse (7310021221201), we get a palindrome (8331242421338).

The spelling of 1021221200137 in words is "one trillion, twenty-one billion, two hundred twenty-one million, two hundred thousand, one hundred thirty-seven".