212101202110000 has 400 divisors, whose sum is σ = 595137797743104. Its totient is φ = 71700443136000.

The previous prime is 212101202109991. The next prime is 212101202110073. The reversal of 212101202110000 is 11202101212.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2922393712 + ... + 2922466288.

Almost surely, 2^{212101202110000} is an apocalyptic number.

212101202110000 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 212101202110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297568898871552).

212101202110000 is an abundant number, since it is smaller than the sum of its proper divisors (383036595633104).

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

212101202110000 is an equidigital number, since it uses as much as digits as its factorization.

212101202110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73198 (or 73177 counting only the distinct ones).

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

Adding to 212101202110000 its reverse (11202101212), we get a palindrome (212112404211212).

The spelling of 212101202110000 in words is "two hundred twelve trillion, one hundred one billion, two hundred two million, one hundred ten thousand".