21200000101200 has 180 divisors, whose sum is σ = 75364277307228. Its totient is φ = 5515447142400.

The previous prime is 21200000101141. The next prime is 21200000101213. The reversal of 21200000101200 is 210100000212.

It can be written as a sum of positive squares in 6 ways, for example, as 2106840638016 + 19093159463184 = 1451496^2 + 4369572^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71668119 + ... + 71963318.

Almost surely, 2^{21200000101200} is an apocalyptic number.

21200000101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200000101200 is an abundant number, since it is smaller than the sum of its proper divisors (54164277206028).

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

21200000101200 is a wasteful number, since it uses less digits than its factorization.

21200000101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143631502 (or 143631488 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21200000101200 its reverse (210100000212), we get a palindrome (21410100101412).

The spelling of 21200000101200 in words is "twenty-one trillion, two hundred billion, one hundred one thousand, two hundred".