21200201211000 has 256 divisors, whose sum is σ = 75602896911360. Its totient is φ = 4845181017600.

The previous prime is 21200201210933. The next prime is 21200201211037. The reversal of 21200201211000 is 11210200212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189847182 + ... + 189958818.

It is an arithmetic number, because the mean of its divisors is an integer number (295323816060).

Almost surely, 2^{21200201211000} is an apocalyptic number.

21200201211000 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 21200201211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37801448455680).

21200201211000 is an abundant number, since it is smaller than the sum of its proper divisors (54402695700360).

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

21200201211000 is a wasteful number, since it uses less digits than its factorization.

21200201211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120711 (or 120697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21200201211000 its reverse (11210200212), we get a palindrome (21211411411212).

The spelling of 21200201211000 in words is "twenty-one trillion, two hundred billion, two hundred one million, two hundred eleven thousand".