212011010101200 has 480 divisors, whose sum is σ = 710461348134912. Its totient is φ = 53941637376000.

The previous prime is 212011010101171. The next prime is 212011010101313. The reversal of 212011010101200 is 2101010110212.

It is a super-2 number, since 2×212011010101200² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19830787855 + ... + 19830798545.

Almost surely, 2^{212011010101200} is an apocalyptic number.

212011010101200 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 212011010101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355230674067456).

212011010101200 is an abundant number, since it is smaller than the sum of its proper divisors (498450338033712).

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

212011010101200 is a wasteful number, since it uses less digits than its factorization.

212011010101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12483 (or 12472 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212011010101200 its reverse (2101010110212), we get a palindrome (214112020211412).

The spelling of 212011010101200 in words is "two hundred twelve trillion, eleven billion, ten million, one hundred one thousand, two hundred".