10112111100337 has 2 divisors, whose sum is σ = 10112111100338. Its totient is φ = 10112111100336.

The previous prime is 10112111100191. The next prime is 10112111100341. The reversal of 10112111100337 is 73300111121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9575812659361 + 536298440976 = 3094481^2 + 732324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10112111100337 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112111100347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056055550168 + 5056055550169.

It is an arithmetic number, because the mean of its divisors is an integer number (5056055550169).

Almost surely, 2^{10112111100337} is an apocalyptic number.

It is an amenable number.

10112111100337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112111100337 is an equidigital number, since it uses as much as digits as its factorization.

10112111100337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 22.

Adding to 10112111100337 its reverse (73300111121101), we get a palindrome (83412222221438).

The spelling of 10112111100337 in words is "ten trillion, one hundred twelve billion, one hundred eleven million, one hundred thousand, three hundred thirty-seven".