1001100137 has 2 divisors, whose sum is σ = 1001100138. Its totient is φ = 1001100136.

The previous prime is 1001100127. The next prime is 1001100151. The reversal of 1001100137 is 7310011001.

It is an a-pointer prime, because the next prime (1001100151) can be obtained adding 1001100137 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 949317721 + 51782416 = 30811^2 + 7196^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100137 - 2⁶ = 1001100073 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001100127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550068 + 500550069.

It is an arithmetic number, because the mean of its divisors is an integer number (500550069).

Almost surely, 2^1001100137 is an apocalyptic number.

It is an amenable number.

1001100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100137 is an equidigital number, since it uses as much as digits as its factorization.

1001100137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 14.

The square root of 1001100137 is about 31640.1665134683. The cubic root of 1001100137 is about 1000.3665779375.

Adding to 1001100137 its reverse (7310011001), we get a palindrome (8311111138).

The spelling of 1001100137 in words is "one billion, one million, one hundred thousand, one hundred thirty-seven".