210100201212000 has 768 divisors, whose sum is σ = 759588979968000. Its totient is φ = 50342988800000.

The previous prime is 210100201211981. The next prime is 210100201212227. The reversal of 210100201212000 is 212102001012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7985854846 + ... + 7985881154.

It is an arithmetic number, because the mean of its divisors is an integer number (989048151000).

Almost surely, 2^{210100201212000} is an apocalyptic number.

210100201212000 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 210100201212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379794489984000).

210100201212000 is an abundant number, since it is smaller than the sum of its proper divisors (549488778756000).

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

210100201212000 is a wasteful number, since it uses less digits than its factorization.

210100201212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27048 (or 27030 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210100201212000 its reverse (212102001012), we get a palindrome (210312303213012).

The spelling of 210100201212000 in words is "two hundred ten trillion, one hundred billion, two hundred one million, two hundred twelve thousand".