212100221001200 has 360 divisors, whose sum is σ = 609003513280512. Its totient is φ = 70746604131840.

The previous prime is 212100221001187. The next prime is 212100221001217. The reversal of 212100221001200 is 2100122001212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 153151049 + ... + 154529751.

Almost surely, 2^{212100221001200} is an apocalyptic number.

212100221001200 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 212100221001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304501756640256).

212100221001200 is an abundant number, since it is smaller than the sum of its proper divisors (396903292279312).

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

212100221001200 is a wasteful number, since it uses less digits than its factorization.

212100221001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378949 (or 1378931 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212100221001200 its reverse (2100122001212), we get a palindrome (214200343002412).

It can be divided in two parts, 21210022 and 1001200, that added together give a palindrome (22211222).

The spelling of 212100221001200 in words is "two hundred twelve trillion, one hundred billion, two hundred twenty-one million, one thousand, two hundred".