11001200121137 has 2 divisors, whose sum is σ = 11001200121138. Its totient is φ = 11001200121136.

The previous prime is 11001200121071. The next prime is 11001200121161. The reversal of 11001200121137 is 73112100210011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8564466633121 + 2436733488016 = 2926511^2 + 1561004^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001200121137 - 2²⁴ = 11001183343921 is a prime.

It is not a weakly prime, because it can be changed into another prime (11001200121337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500600060568 + 5500600060569.

It is an arithmetic number, because the mean of its divisors is an integer number (5500600060569).

Almost surely, 2^{11001200121137} is an apocalyptic number.

It is an amenable number.

11001200121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001200121137 is an equidigital number, since it uses as much as digits as its factorization.

11001200121137 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 20.

Adding to 11001200121137 its reverse (73112100210011), we get a palindrome (84113300331148).

The spelling of 11001200121137 in words is "eleven trillion, one billion, two hundred million, one hundred twenty-one thousand, one hundred thirty-seven".