100415010121 has 8 divisors (see below), whose sum is σ = 101566021824. Its totient is φ = 99267073200.

The previous prime is 100415010071. The next prime is 100415010167. The reversal of 100415010121 is 121010514001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100415010121 - 2¹⁵ = 100414977353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100415010095 and 100415010104.

It is not an unprimeable number, because it can be changed into a prime (100415010821) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 702975 + ... + 833668.

It is an arithmetic number, because the mean of its divisors is an integer number (12695752728).

Almost surely, 2^100415010121 is an apocalyptic number.

It is an amenable number.

100415010121 is a deficient number, since it is larger than the sum of its proper divisors (1151011703).

100415010121 is a wasteful number, since it uses less digits than its factorization.

100415010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537391.

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 100415010121 its reverse (121010514001), we get a palindrome (221425524122).

The spelling of 100415010121 in words is "one hundred billion, four hundred fifteen million, ten thousand, one hundred twenty-one".