10202201112137 has 2 divisors, whose sum is σ = 10202201112138. Its totient is φ = 10202201112136.

The previous prime is 10202201112071. The next prime is 10202201112139. The reversal of 10202201112137 is 73121110220201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9459198487561 + 743002624576 = 3075581^2 + 861976^2 .

It is an emirp because it is prime and its reverse (73121110220201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10202201112137 is a prime.

Together with 10202201112139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10202201112139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101100556068 + 5101100556069.

It is an arithmetic number, because the mean of its divisors is an integer number (5101100556069).

Almost surely, 2^{10202201112137} is an apocalyptic number.

It is an amenable number.

10202201112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202201112137 is an equidigital number, since it uses as much as digits as its factorization.

10202201112137 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 23.

Adding to 10202201112137 its reverse (73121110220201), we get a palindrome (83323311332338).

The spelling of 10202201112137 in words is "ten trillion, two hundred two billion, two hundred one million, one hundred twelve thousand, one hundred thirty-seven".