2011112021100 has 288 divisors, whose sum is σ = 7168280089600. Its totient is φ = 423928028160.

The previous prime is 2011112021099. The next prime is 2011112021153. The reversal of 2011112021100 is 11202111102.

It is a super-2 number, since 2×2011112021100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 29805201 + ... + 29872599.

Almost surely, 2^{2011112021100} is an apocalyptic number.

2011112021100 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 2011112021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584140044800).

2011112021100 is an abundant number, since it is smaller than the sum of its proper divisors (5157168068500).

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

2011112021100 is a wasteful number, since it uses less digits than its factorization.

2011112021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68529 (or 68522 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011112021100 its reverse (11202111102), we get a palindrome (2022314132202).

The spelling of 2011112021100 in words is "two trillion, eleven billion, one hundred twelve million, twenty-one thousand, one hundred".