21201110300200 has 24 divisors (see below), whose sum is σ = 49292581448430. Its totient is φ = 8480444120000.

The previous prime is 21201110300179. The next prime is 21201110300221. The reversal of 21201110300200 is 200301110212.

It is an interprime number because it is at equal distance from previous prime (21201110300179) and next prime (21201110300221).

It can be written as a sum of positive squares in 3 ways, for example, as 18733678810564 + 2467431489636 = 4328242^2 + 1570806^2 .

It is a super-2 number, since 2×21201110300200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 53002775551 + ... + 53002775950.

Almost surely, 2^{21201110300200} is an apocalyptic number.

21201110300200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201110300200 is an abundant number, since it is smaller than the sum of its proper divisors (28091471148230).

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

21201110300200 is a wasteful number, since it uses less digits than its factorization.

21201110300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106005551517 (or 106005551508 counting only the distinct ones).

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

Adding to 21201110300200 its reverse (200301110212), we get a palindrome (21401411410412).

The spelling of 21201110300200 in words is "twenty-one trillion, two hundred one billion, one hundred ten million, three hundred thousand, two hundred".