20211010211200 has 384 divisors, whose sum is σ = 55191217536000. Its totient is φ = 7274293002240.

The previous prime is 20211010211191. The next prime is 20211010211219. The reversal of 20211010211200 is 211201011202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3902490211 + ... + 3902495389.

It is an arithmetic number, because the mean of its divisors is an integer number (143727129000).

Almost surely, 2^{20211010211200} is an apocalyptic number.

20211010211200 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 20211010211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27595608768000).

20211010211200 is an abundant number, since it is smaller than the sum of its proper divisors (34980207324800).

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

20211010211200 is a wasteful number, since it uses less digits than its factorization.

20211010211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8362 (or 8345 counting only the distinct ones).

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

Adding to 20211010211200 its reverse (211201011202), we get a palindrome (20422211222402).

The spelling of 20211010211200 in words is "twenty trillion, two hundred eleven billion, ten million, two hundred eleven thousand, two hundred".