21112100300200 has 288 divisors, whose sum is σ = 62066622794400. Its totient is φ = 6619182312960.

The previous prime is 21112100300191. The next prime is 21112100300231. The reversal of 21112100300200 is 200300121112.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12857431 + ... + 14406169.

It is an arithmetic number, because the mean of its divisors is an integer number (215509106925).

Almost surely, 2^{21112100300200} is an apocalyptic number.

21112100300200 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 21112100300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31033311397200).

21112100300200 is an abundant number, since it is smaller than the sum of its proper divisors (40954522494200).

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

21112100300200 is a wasteful number, since it uses less digits than its factorization.

21112100300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548889 (or 1548873 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21112100300200 its reverse (200300121112), we get a palindrome (21312400421312).

The spelling of 21112100300200 in words is "twenty-one trillion, one hundred twelve billion, one hundred million, three hundred thousand, two hundred".