201121020200000 has 84 divisors (see below), whose sum is σ = 498842478108324. Its totient is φ = 80448408000000.

The previous prime is 201121020199993. The next prime is 201121020200011. The reversal of 201121020200000 is 2020121102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 171729702466624 + 29391317733376 = 13104568^2 + 5421376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502602551 + ... + 503002550.

It is an arithmetic number, because the mean of its divisors is an integer number (5938600929861).

Almost surely, 2^{201121020200000} is an apocalyptic number.

201121020200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121020200000 is an abundant number, since it is smaller than the sum of its proper divisors (297721457908324).

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

201121020200000 is an frugal number, since it uses more digits than its factorization.

201121020200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005605138 (or 1005605108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201121020200000 its reverse (2020121102), we get a palindrome (201123040321102).

The spelling of 201121020200000 in words is "two hundred one trillion, one hundred twenty-one billion, twenty million, two hundred thousand".