210112212202200 has 1152 divisors, whose sum is σ = 888939858493440. Its totient is φ = 43204141440000.

The previous prime is 210112212202181. The next prime is 210112212202201. The reversal of 210112212202200 is 2202212211012.

It is a happy number.

210112212202200 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 1 + 221 + 220 + 220 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210112212202201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14400116905 + ... + 14400131495.

It is an arithmetic number, because the mean of its divisors is an integer number (771649182720).

Almost surely, 2^{210112212202200} is an apocalyptic number.

210112212202200 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 210112212202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444469929246720).

210112212202200 is an abundant number, since it is smaller than the sum of its proper divisors (678827646291240).

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

210112212202200 is a wasteful number, since it uses less digits than its factorization.

210112212202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15709 (or 15697 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210112212202200 its reverse (2202212211012), we get a palindrome (212314424413212).

The spelling of 210112212202200 in words is "two hundred ten trillion, one hundred twelve billion, two hundred twelve million, two hundred two thousand, two hundred".