100015101 has 16 divisors (see below), whose sum is σ = 148582720. Its totient is φ = 66491280.

The previous prime is 100015099. The next prime is 100015129. The reversal of 100015101 is 101510001.

It is not a de Polignac number, because 100015101 - 2¹ = 100015099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100015141) 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 15 ways as a sum of consecutive naturals, for example, 5106 + ... + 15036.

It is an arithmetic number, because the mean of its divisors is an integer number (9286420).

Almost surely, 2^100015101 is an apocalyptic number.

It is an amenable number.

100015101 is a deficient number, since it is larger than the sum of its proper divisors (48567619).

100015101 is an equidigital number, since it uses as much as digits as its factorization.

100015101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313 (or 10307 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 100015101 is about 10000.7550214971. The cubic root of 100015101 is about 464.1822463963.

Adding to 100015101 its reverse (101510001), we get a palindrome (201525102).

The spelling of 100015101 in words is "one hundred million, fifteen thousand, one hundred one".