212011111010000 has 50 divisors (see below), whose sum is σ = 513300100890522. Its totient is φ = 84804444400000.

The previous prime is 212011111009871. The next prime is 212011111010009. The reversal of 212011111010000 is 10111110212.

It can be written as a sum of positive squares in 5 ways, for example, as 72934469468224 + 139076641541776 = 8540168^2 + 11793076^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×212011111010000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011111010009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10600545551 + ... + 10600565550.

Almost surely, 2^{212011111010000} is an apocalyptic number.

212011111010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011111010000 is an abundant number, since it is smaller than the sum of its proper divisors (301288989880522).

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

212011111010000 is an equidigital number, since it uses as much as digits as its factorization.

212011111010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21201111129 (or 21201111108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 212011111010000 its reverse (10111110212), we get a palindrome (212021222120212).

The spelling of 212011111010000 in words is "two hundred twelve trillion, eleven billion, one hundred eleven million, ten thousand".