212001000110000 has 200 divisors, whose sum is σ = 531823875446160. Its totient is φ = 81790204288000.

The previous prime is 212001000109957. The next prime is 212001000110033. The reversal of 212001000110000 is 11000100212.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 212001000110000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27880154 + ... + 34659846.

Almost surely, 2^{212001000110000} is an apocalyptic number.

212001000110000 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 212001000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265911937723080).

212001000110000 is an abundant number, since it is smaller than the sum of its proper divisors (319822875336160).

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

212001000110000 is an equidigital number, since it uses as much as digits as its factorization.

212001000110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779833 (or 6779812 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 212001000110000 its reverse (11000100212), we get a palindrome (212012000210212).

The spelling of 212001000110000 in words is "two hundred twelve trillion, one billion, one hundred ten thousand".