2011200101100 has 324 divisors, whose sum is σ = 7049102951800. Its totient is φ = 478203678720.

The previous prime is 2011200101069. The next prime is 2011200101147. The reversal of 2011200101100 is 11010021102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4738416 + ... + 5145384.

Almost surely, 2^{2011200101100} is an apocalyptic number.

2011200101100 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 2011200101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524551475900).

2011200101100 is an abundant number, since it is smaller than the sum of its proper divisors (5037902850700).

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

2011200101100 is a wasteful number, since it uses less digits than its factorization.

2011200101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407042 (or 407015 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2011200101100 its reverse (11010021102), we get a palindrome (2022210122202).

The spelling of 2011200101100 in words is "two trillion, eleven billion, two hundred million, one hundred one thousand, one hundred".