20212201100000 has 576 divisors, whose sum is σ = 62466408144000. Its totient is φ = 6396687360000.

The previous prime is 20212201099991. The next prime is 20212201100041. The reversal of 20212201100000 is 110221202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445877336 + ... + 445922664.

It is an arithmetic number, because the mean of its divisors is an integer number (108448625250).

Almost surely, 2^{20212201100000} is an apocalyptic number.

20212201100000 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 20212201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31233204072000).

20212201100000 is an abundant number, since it is smaller than the sum of its proper divisors (42254207044000).

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

20212201100000 is an frugal number, since it uses more digits than its factorization.

20212201100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45398 (or 45356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20212201100000 its reverse (110221202), we get a palindrome (20212311321202).

The spelling of 20212201100000 in words is "twenty trillion, two hundred twelve billion, two hundred one million, one hundred thousand".