2011121021200 has 240 divisors, whose sum is σ = 5310624384000. Its totient is φ = 728496806400.

The previous prime is 2011121021149. The next prime is 2011121021213. The reversal of 2011121021200 is 21201211102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372496101 + ... + 372501499.

It is an arithmetic number, because the mean of its divisors is an integer number (22127601600).

Almost surely, 2^{2011121021200} is an apocalyptic number.

2011121021200 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 2011121021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655312192000).

2011121021200 is an abundant number, since it is smaller than the sum of its proper divisors (3299503362800).

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

2011121021200 is a wasteful number, since it uses less digits than its factorization.

2011121021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590 (or 7579 counting only the distinct ones).

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

Adding to 2011121021200 its reverse (21201211102), we get a palindrome (2032322232302).

The spelling of 2011121021200 in words is "two trillion, eleven billion, one hundred twenty-one million, twenty-one thousand, two hundred".