100121517 has 24 divisors (see below), whose sum is σ = 155428416. Its totient is φ = 61877376.

The previous prime is 100121473. The next prime is 100121521. The reversal of 100121517 is 715121001.

It is a happy number.

It is not a de Polignac number, because 100121517 - 2⁶ = 100121453 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100121517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100126517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5368 + ... + 15134.

It is an arithmetic number, because the mean of its divisors is an integer number (6476184).

Almost surely, 2^100121517 is an apocalyptic number.

100121517 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100121517 is a deficient number, since it is larger than the sum of its proper divisors (55306899).

100121517 is a wasteful number, since it uses less digits than its factorization.

100121517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9857 (or 9854 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 100121517 is about 10006.0740053230. The cubic root of 100121517 is about 464.3468179078.

Adding to 100121517 its reverse (715121001), we get a palindrome (815242518).

The spelling of 100121517 in words is "one hundred million, one hundred twenty-one thousand, five hundred seventeen".