201221121000 has 64 divisors (see below), whose sum is σ = 627809906880. Its totient is φ = 53658964800.

The previous prime is 201221120999. The next prime is 201221121007. The reversal of 201221121000 is 121122102.

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

It is not an unprimeable number, because it can be changed into a prime (201221121007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33533854 + ... + 33539853.

It is an arithmetic number, because the mean of its divisors is an integer number (9809529795).

Almost surely, 2^201221121000 is an apocalyptic number.

201221121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221121000 is an abundant number, since it is smaller than the sum of its proper divisors (426588785880).

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

201221121000 is a wasteful number, since it uses less digits than its factorization.

201221121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67073731 (or 67073717 counting only the distinct ones).

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

Adding to 201221121000 its reverse (121122102), we get a palindrome (201342243102).

The spelling of 201221121000 in words is "two hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand".