221301212101200 has 540 divisors, whose sum is σ = 964731047504224. Its totient is φ = 45984666816000.

The previous prime is 221301212101157. The next prime is 221301212101223. The reversal of 221301212101200 is 2101212103122.

221301212101200 is a `hidden beast` number, since 2 + 2 + 130 + 121 + 210 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 33239206 + ... + 39337605.

Almost surely, 2^{221301212101200} is an apocalyptic number.

221301212101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221301212101200 is an abundant number, since it is smaller than the sum of its proper divisors (743429835403024).

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

221301212101200 is a wasteful number, since it uses less digits than its factorization.

221301212101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72576864 (or 72576839 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221301212101200 its reverse (2101212103122), we get a palindrome (223402424204322).

The spelling of 221301212101200 in words is "two hundred twenty-one trillion, three hundred one billion, two hundred twelve million, one hundred one thousand, two hundred".