12221010200137 has 2 divisors, whose sum is σ = 12221010200138. Its totient is φ = 12221010200136.

The previous prime is 12221010200131. The next prime is 12221010200141. The reversal of 12221010200137 is 73100201012221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9947078902201 + 2273931297936 = 3153899^2 + 1507956^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221010200137 - 2¹⁵ = 12221010167369 is a prime.

It is not a weakly prime, because it can be changed into another prime (12221010200131) 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, 6110505100068 + 6110505100069.

It is an arithmetic number, because the mean of its divisors is an integer number (6110505100069).

Almost surely, 2^{12221010200137} is an apocalyptic number.

It is an amenable number.

12221010200137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221010200137 is an equidigital number, since it uses as much as digits as its factorization.

12221010200137 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 12221010200137 its reverse (73100201012221), we get a palindrome (85321211212358).

The spelling of 12221010200137 in words is "twelve trillion, two hundred twenty-one billion, ten million, two hundred thousand, one hundred thirty-seven".