212100000000000 has 1152 divisors, whose sum is σ = 815800777908480. Its totient is φ = 48000000000000.

The previous prime is 212099999999999. The next prime is 212100000000011. The reversal of 212100000000000 is 1212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 212099999999898 and 212099999999907.

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, 2099999999950 + ... + 2100000000050.

It is an arithmetic number, because the mean of its divisors is an integer number (708160397490).

Almost surely, 2^{212100000000000} is an apocalyptic number.

212100000000000 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 212100000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407900388954240).

212100000000000 is an abundant number, since it is smaller than the sum of its proper divisors (603700777908480).

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

212100000000000 is an frugal number, since it uses more digits than its factorization.

212100000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 212100000000000 its reverse (1212), we get a palindrome (212100000001212).

The spelling of 212100000000000 in words is "two hundred twelve trillion, one hundred billion", and thus it is an aban number.