21201122211000 has 256 divisors, whose sum is σ = 67948663311360. Its totient is φ = 5499747417600.

The previous prime is 21201122210903. The next prime is 21201122211077. The reversal of 21201122211000 is 11222110212.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 670757197 + ... + 670788803.

It is an arithmetic number, because the mean of its divisors is an integer number (265424466060).

Almost surely, 2^{21201122211000} is an apocalyptic number.

21201122211000 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 21201122211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33974331655680).

21201122211000 is an abundant number, since it is smaller than the sum of its proper divisors (46747541100360).

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

21201122211000 is a wasteful number, since it uses less digits than its factorization.

21201122211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37711 (or 37697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21201122211000 its reverse (11222110212), we get a palindrome (21212344321212).

The spelling of 21201122211000 in words is "twenty-one trillion, two hundred one billion, one hundred twenty-two million, two hundred eleven thousand".