212011102120000 has 140 divisors (see below), whose sum is σ = 525805798656556. Its totient is φ = 84790379520000.

The previous prime is 212011102119979. The next prime is 212011102120067. The reversal of 212011102120000 is 21201110212.

It can be written as a sum of positive squares in 10 ways, for example, as 166296086701056 + 45715015418944 = 12895584^2 + 6761288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 242483620 + ... + 243356380.

Almost surely, 2^{212011102120000} is an apocalyptic number.

212011102120000 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 212011102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262902899328278).

212011102120000 is an abundant number, since it is smaller than the sum of its proper divisors (313794696536556).

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

212011102120000 is an frugal number, since it uses more digits than its factorization.

212011102120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878866 (or 878841 counting only the distinct ones).

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

Adding to 212011102120000 its reverse (21201110212), we get a palindrome (212032303230212).

212011102120000 divided by its reverse (21201110212) gives a 4-th power (10000 = 10⁴).

The spelling of 212011102120000 in words is "two hundred twelve trillion, eleven billion, one hundred two million, one hundred twenty thousand".