210200120021200 has 120 divisors (see below), whose sum is σ = 514700929632600. Its totient is φ = 82466900705280.

The previous prime is 210200120021197. The next prime is 210200120021201. The reversal of 210200120021200 is 2120021002012.

It is a happy number.

210200120021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 25080584834704 + 185119535186496 = 5008052^2 + 13605864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210200120021201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63881896 + ... + 67091704.

It is an arithmetic number, because the mean of its divisors is an integer number (4289174413605).

Almost surely, 2^{210200120021200} is an apocalyptic number.

210200120021200 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 210200120021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257350464816300).

210200120021200 is an abundant number, since it is smaller than the sum of its proper divisors (304500809611400).

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

210200120021200 is a wasteful number, since it uses less digits than its factorization.

210200120021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212969 (or 3212958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210200120021200 its reverse (2120021002012), we get a palindrome (212320141023212).

The spelling of 210200120021200 in words is "two hundred ten trillion, two hundred billion, one hundred twenty million, twenty-one thousand, two hundred".