100121415 has 64 divisors (see below), whose sum is σ = 181564416. Its totient is φ = 46835712.

The previous prime is 100121387. The next prime is 100121423. The reversal of 100121415 is 514121001.

It is a happy number.

It is not a de Polignac number, because 100121415 - 2⁸ = 100121159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 100121394 and 100121403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251997 + ... + 252393.

It is an arithmetic number, because the mean of its divisors is an integer number (2836944).

Almost surely, 2^100121415 is an apocalyptic number.

100121415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100121415 is a deficient number, since it is larger than the sum of its proper divisors (81443001).

100121415 is a wasteful number, since it uses less digits than its factorization.

100121415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 100121415 is about 10006.0689084175. The cubic root of 100121415 is about 464.3466602214.

Adding to 100121415 its reverse (514121001), we get a palindrome (614242416).

The spelling of 100121415 in words is "one hundred million, one hundred twenty-one thousand, four hundred fifteen".