2011122300300 has 72 divisors (see below), whose sum is σ = 5818991800272. Its totient is φ = 536285952000.

The previous prime is 2011122300281. The next prime is 2011122300349. The reversal of 2011122300300 is 30032211102.

It is a super-2 number, since 2×2011122300300² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2011122300300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20338980 + ... + 20437620.

Almost surely, 2^{2011122300300} is an apocalyptic number.

2011122300300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011122300300 is an abundant number, since it is smaller than the sum of its proper divisors (3807869499972).

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

2011122300300 is a wasteful number, since it uses less digits than its factorization.

2011122300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166619 (or 166612 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2011122300300 its reverse (30032211102), we get a palindrome (2041154511402).

The spelling of 2011122300300 in words is "two trillion, eleven billion, one hundred twenty-two million, three hundred thousand, three hundred".