211002001211200 has 168 divisors, whose sum is σ = 546543871319520. Its totient is φ = 79955591731200.

The previous prime is 211002001211173. The next prime is 211002001211201. The reversal of 211002001211200 is 2112100200112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211002001211201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 892517010 + ... + 892753390.

Almost surely, 2^{211002001211200} is an apocalyptic number.

211002001211200 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 211002001211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273271935659760).

211002001211200 is an abundant number, since it is smaller than the sum of its proper divisors (335541870108320).

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

211002001211200 is a wasteful number, since it uses less digits than its factorization.

211002001211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265785 (or 265770 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211002001211200 its reverse (2112100200112), we get a palindrome (213114101411312).

The spelling of 211002001211200 in words is "two hundred eleven trillion, two billion, one million, two hundred eleven thousand, two hundred".