111002137 has 2 divisors, whose sum is σ = 111002138. Its totient is φ = 111002136.

The previous prime is 111002107. The next prime is 111002149. The reversal of 111002137 is 731200111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108243216 + 2758921 = 10404^2 + 1661^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111002137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111002137.

It is not a weakly prime, because it can be changed into another prime (111002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55501068 + 55501069.

It is an arithmetic number, because the mean of its divisors is an integer number (55501069).

Almost surely, 2^111002137 is an apocalyptic number.

It is an amenable number.

111002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111002137 is an equidigital number, since it uses as much as digits as its factorization.

111002137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 111002137 is about 10535.7551698965. The cubic root of 111002137 is about 480.5926374945.

Adding to 111002137 its reverse (731200111), we get a palindrome (842202248).

The spelling of 111002137 in words is "one hundred eleven million, two thousand, one hundred thirty-seven".