2011100211100 has 36 divisors (see below), whose sum is σ = 4364929611000. Its totient is φ = 804284848960.

The previous prime is 2011100211079. The next prime is 2011100211103. The reversal of 2011100211100 is 11120011102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011100211103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1418950 + ... + 2456749.

It is an arithmetic number, because the mean of its divisors is an integer number (121248044750).

Almost surely, 2^{2011100211100} is an apocalyptic number.

2011100211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011100211100 is an abundant number, since it is smaller than the sum of its proper divisors (2353829399900).

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

2011100211100 is a wasteful number, since it uses less digits than its factorization.

2011100211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880902 (or 3880895 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2011100211100 its reverse (11120011102), we get a palindrome (2022220222202).

It can be divided in two parts, 20111002 and 11100, that added together give a palindrome (20122102).

The spelling of 2011100211100 in words is "two trillion, eleven billion, one hundred million, two hundred eleven thousand, one hundred".