201121121000 has 64 divisors (see below), whose sum is σ = 470861473680. Its totient is φ = 80407756800.

The previous prime is 201121120997. The next prime is 201121121051. The reversal of 201121121000 is 121121102.

It can be written as a sum of positive squares in 8 ways, for example, as 8433483556 + 192687637444 = 91834^2 + 438962^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1967144 + ... + 2066856.

Almost surely, 2^201121121000 is an apocalyptic number.

201121121000 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 201121121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235430736840).

201121121000 is an abundant number, since it is smaller than the sum of its proper divisors (269740352680).

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

201121121000 is a wasteful number, since it uses less digits than its factorization.

201121121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101751 (or 101737 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201121121000 its reverse (121121102), we get a palindrome (201242242102).

The spelling of 201121121000 in words is "two hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand".