212011100212200 has 384 divisors, whose sum is σ = 687708098864640. Its totient is φ = 53974471680000.

The previous prime is 212011100212199. The next prime is 212011100212213. The reversal of 212011100212200 is 2212001110212.

It is a super-2 number, since 2×212011100212200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212011100212200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8811388170 + ... + 8811412230.

It is an arithmetic number, because the mean of its divisors is an integer number (1790906507460).

Almost surely, 2^{212011100212200} is an apocalyptic number.

212011100212200 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 212011100212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343854049432320).

212011100212200 is an abundant number, since it is smaller than the sum of its proper divisors (475696998652440).

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

212011100212200 is a wasteful number, since it uses less digits than its factorization.

212011100212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31789 (or 31780 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212011100212200 its reverse (2212001110212), we get a palindrome (214223101322412).

The spelling of 212011100212200 in words is "two hundred twelve trillion, eleven billion, one hundred million, two hundred twelve thousand, two hundred".