21100010109 has 16 divisors (see below), whose sum is σ = 28222344000. Its totient is φ = 14022235136.

The previous prime is 21100010083. The next prime is 21100010117. The reversal of 21100010109 is 90101000112.

It is a cyclic number.

It is not a de Polignac number, because 21100010109 - 2⁷ = 21100009981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100010119) 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, 1559827 + ... + 1573295.

It is an arithmetic number, because the mean of its divisors is an integer number (1763896500).

Almost surely, 2^21100010109 is an apocalyptic number.

It is an amenable number.

21100010109 is a deficient number, since it is larger than the sum of its proper divisors (7122333891).

21100010109 is a wasteful number, since it uses less digits than its factorization.

21100010109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15084.

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 21100010109 in words is "twenty-one billion, one hundred million, ten thousand, one hundred nine".