201121202101000 has 128 divisors (see below), whose sum is σ = 470945853630720. Its totient is φ = 80393414400000.

The previous prime is 201121202100947. The next prime is 201121202101007. The reversal of 201121202101000 is 101202121102.

It is not an unprimeable number, because it can be changed into a prime (201121202101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18918365685 + ... + 18918376315.

It is an arithmetic number, because the mean of its divisors is an integer number (3679264481490).

Almost surely, 2^{201121202101000} is an apocalyptic number.

201121202101000 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 201121202101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235472926815360).

201121202101000 is an abundant number, since it is smaller than the sum of its proper divisors (269824651529720).

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

201121202101000 is a wasteful number, since it uses less digits than its factorization.

201121202101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21824 (or 21810 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201121202101000 its reverse (101202121102), we get a palindrome (201222404222102).

The spelling of 201121202101000 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred two million, one hundred one thousand".