201101201211200 has 84 divisors (see below), whose sum is σ = 494838366840972. Its totient is φ = 80439875174400.

The previous prime is 201101201211181. The next prime is 201101201211263. The reversal of 201101201211200 is 2112102101102.

It can be written as a sum of positive squares in 6 ways, for example, as 8842344537664 + 192258856673536 = 2973608^2 + 13865744^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255506270 + ... + 256292130.

It is an arithmetic number, because the mean of its divisors is an integer number (5890932938583).

Almost surely, 2^{201101201211200} is an apocalyptic number.

201101201211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101201211200 is an abundant number, since it is smaller than the sum of its proper divisors (293737165629772).

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

201101201211200 is a wasteful number, since it uses less digits than its factorization.

201101201211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945820 (or 945805 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201101201211200 its reverse (2112102101102), we get a palindrome (203213303312302).

The spelling of 201101201211200 in words is "two hundred one trillion, one hundred one billion, two hundred one million, two hundred eleven thousand, two hundred".