10001201201137 has 2 divisors, whose sum is σ = 10001201201138. Its totient is φ = 10001201201136.

The previous prime is 10001201200997. The next prime is 10001201201143. The reversal of 10001201201137 is 73110210210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5893319443456 + 4107881757681 = 2427616^2 + 2026791^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001201201137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001201202137) 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, 5000600600568 + 5000600600569.

It is an arithmetic number, because the mean of its divisors is an integer number (5000600600569).

Almost surely, 2^{10001201201137} is an apocalyptic number.

It is an amenable number.

10001201201137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001201201137 is an equidigital number, since it uses as much as digits as its factorization.

10001201201137 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 10001201201137 its reverse (73110210210001), we get a palindrome (83111411411138).

The spelling of 10001201201137 in words is "ten trillion, one billion, two hundred one million, two hundred one thousand, one hundred thirty-seven".