20212011100000 has 576 divisors, whose sum is σ = 52956182462400. Its totient is φ = 7580984320000.

The previous prime is 20212011099961. The next prime is 20212011100031. The reversal of 20212011100000 is 111021202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 20212011100000.

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, 16445899386 + ... + 16445900614.

It is an arithmetic number, because the mean of its divisors is an integer number (91937816775).

Almost surely, 2^{20212011100000} is an apocalyptic number.

20212011100000 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 20212011100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26478091231200).

20212011100000 is an abundant number, since it is smaller than the sum of its proper divisors (32744171362400).

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

20212011100000 is a wasteful number, since it uses less digits than its factorization.

20212011100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20212011100000 its reverse (111021202), we get a palindrome (20212122121202).

The spelling of 20212011100000 in words is "twenty trillion, two hundred twelve billion, eleven million, one hundred thousand".