2112111101100 has 1152 divisors, whose sum is σ = 8396102615040. Its totient is φ = 395804160000.

The previous prime is 2112111101077. The next prime is 2112111101117. The reversal of 2112111101100 is 11011112112.

It is a super-2 number, since 2×2112111101100² (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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2517414481 + ... + 2517415319.

It is an arithmetic number, because the mean of its divisors is an integer number (7288283520).

Almost surely, 2^{2112111101100} is an apocalyptic number.

2112111101100 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 2112111101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198051307520).

2112111101100 is an abundant number, since it is smaller than the sum of its proper divisors (6283991513940).

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

2112111101100 is a wasteful number, since it uses less digits than its factorization.

2112111101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2112111101100 its reverse (11011112112), we get a palindrome (2123122213212).

The spelling of 2112111101100 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred one thousand, one hundred".