21002166606100 has 36 divisors (see below), whose sum is σ = 45576999836704. Its totient is φ = 8400442992480.

The previous prime is 21002166606097. The next prime is 21002166606101. The reversal of 21002166606100 is 160666120012.

It is a super-3 number, since 3×21002166606100³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002166606101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3298992 + ... + 7272391.

Almost surely, 2^{21002166606100} is an apocalyptic number.

21002166606100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002166606100 is an abundant number, since it is smaller than the sum of its proper divisors (24574833230604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21002166606100 is a wasteful number, since it uses less digits than its factorization.

21002166606100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591264 (or 10591257 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 21002166606100 in words is "twenty-one trillion, two billion, one hundred sixty-six million, six hundred six thousand, one hundred".