201121100221200 has 240 divisors, whose sum is σ = 644933161219200. Its totient is φ = 53576112844800.

The previous prime is 201121100221133. The next prime is 201121100221231. The reversal of 201121100221200 is 2122001121102.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 201121100221200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4574967220 + ... + 4575011180.

It is an arithmetic number, because the mean of its divisors is an integer number (2687221505080).

Almost surely, 2^{201121100221200} is an apocalyptic number.

201121100221200 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 201121100221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322466580609600).

201121100221200 is an abundant number, since it is smaller than the sum of its proper divisors (443812060998000).

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

201121100221200 is a wasteful number, since it uses less digits than its factorization.

201121100221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47890 (or 47879 counting only the distinct ones).

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

Adding to 201121100221200 its reverse (2122001121102), we get a palindrome (203243101342302).

The spelling of 201121100221200 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred million, two hundred twenty-one thousand, two hundred".