21201208920600 has 384 divisors, whose sum is σ = 70443066355200. Its totient is φ = 5261748940800.

The previous prime is 21201208920599. The next prime is 21201208920601. The reversal of 21201208920600 is 602980210212.

It is an interprime number because it is at equal distance from previous prime (21201208920599) and next prime (21201208920601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201208920601) 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 95 ways as a sum of consecutive naturals, for example, 210993171 + ... + 211093629.

It is an arithmetic number, because the mean of its divisors is an integer number (183445485300).

Almost surely, 2^{21201208920600} is an apocalyptic number.

21201208920600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201208920600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35221533177600).

21201208920600 is an abundant number, since it is smaller than the sum of its proper divisors (49241857434600).

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

21201208920600 is a wasteful number, since it uses less digits than its factorization.

21201208920600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100915 (or 100906 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 21201208920600 in words is "twenty-one trillion, two hundred one billion, two hundred eight million, nine hundred twenty thousand, six hundred".