101138817 has 16 divisors (see below), whose sum is σ = 145544000. Its totient is φ = 62102592.

The previous prime is 101138789. The next prime is 101138819. The reversal of 101138817 is 718831101.

It is a happy number.

It is not a de Polignac number, because 101138817 - 2⁸ = 101138561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101138819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16863 + ... + 22059.

It is an arithmetic number, because the mean of its divisors is an integer number (9096500).

Almost surely, 2^101138817 is an apocalyptic number.

It is an amenable number.

101138817 is a deficient number, since it is larger than the sum of its proper divisors (44405183).

101138817 is a wasteful number, since it uses less digits than its factorization.

101138817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712.

The product of its (nonzero) digits is 1344, while the sum is 30.

The square root of 101138817 is about 10056.7796535472. The cubic root of 101138817 is about 465.9142102321.

Adding to 101138817 its reverse (718831101), we get a palindrome (819969918).

The spelling of 101138817 in words is "one hundred one million, one hundred thirty-eight thousand, eight hundred seventeen".