212201110110000 has 800 divisors, whose sum is σ = 752806920273408. Its totient is φ = 51063618560000.

The previous prime is 212201110109999. The next prime is 212201110110019. The reversal of 212201110110000 is 11011102212.

It is a super-2 number, since 2×212201110110000² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47229267754 + ... + 47229272246.

Almost surely, 2^{212201110110000} is an apocalyptic number.

212201110110000 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 212201110110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376403460136704).

212201110110000 is an abundant number, since it is smaller than the sum of its proper divisors (540605810163408).

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

212201110110000 is a wasteful number, since it uses less digits than its factorization.

212201110110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559 (or 5538 counting only the distinct ones).

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

Adding to 212201110110000 its reverse (11011102212), we get a palindrome (212212121212212).

The spelling of 212201110110000 in words is "two hundred twelve trillion, two hundred one billion, one hundred ten million, one hundred ten thousand".