2221021020137 has 2 divisors, whose sum is σ = 2221021020138. Its totient is φ = 2221021020136.

The previous prime is 2221021020017. The next prime is 2221021020221. The reversal of 2221021020137 is 7310201201222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2052010410256 + 169010609881 = 1432484^2 + 411109^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221021020137 - 2²⁰ = 2221019971561 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221021022137) 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, 1110510510068 + 1110510510069.

It is an arithmetic number, because the mean of its divisors is an integer number (1110510510069).

Almost surely, 2^{2221021020137} is an apocalyptic number.

It is an amenable number.

2221021020137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221021020137 is an equidigital number, since it uses as much as digits as its factorization.

2221021020137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 2221021020137 its reverse (7310201201222), we get a palindrome (9531222221359).

The spelling of 2221021020137 in words is "two trillion, two hundred twenty-one billion, twenty-one million, twenty thousand, one hundred thirty-seven".