101003137 has 4 divisors (see below), whose sum is σ = 106944516. Its totient is φ = 95061760.

The previous prime is 101003101. The next prime is 101003179. The reversal of 101003137 is 731300101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 77422401 + 23580736 = 8799^2 + 4856^2 .

It is a cyclic number.

It is not a de Polignac number, because 101003137 - 2⁷ = 101003009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101003137.

It is not an unprimeable number, because it can be changed into a prime (101009137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2970664 + ... + 2970697.

It is an arithmetic number, because the mean of its divisors is an integer number (26736129).

Almost surely, 2^101003137 is an apocalyptic number.

101003137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101003137 is a deficient number, since it is larger than the sum of its proper divisors (5941379).

101003137 is an equidigital number, since it uses as much as digits as its factorization.

101003137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941378.

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 101003137 is about 10050.0316914923. The cubic root of 101003137 is about 465.7057721954.

Adding to 101003137 its reverse (731300101), we get a palindrome (832303238).

The spelling of 101003137 in words is "one hundred one million, three thousand, one hundred thirty-seven".