100210109 has 16 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 93744000.

The previous prime is 100210069. The next prime is 100210147. The reversal of 100210109 is 901012001.

100210109 is nontrivially palindromic in base 8.

It is a cyclic number.

It is not a de Polignac number, because 100210109 - 2²⁴ = 83432893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210093 and 100210102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322064 + ... + 322374.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^100210109 is an apocalyptic number.

It is an amenable number.

100210109 is a deficient number, since it is larger than the sum of its proper divisors (6718531).

100210109 is a wasteful number, since it uses less digits than its factorization.

100210109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 100210109 is about 10010.4999375656. The cubic root of 100210109 is about 464.4837358154.

It can be divided in two parts, 1002 and 10109, that added together give a palindrome (11111).

The spelling of 100210109 in words is "one hundred million, two hundred ten thousand, one hundred nine".