2110111001100 has 180 divisors, whose sum is σ = 6841047723048. Its totient is φ = 562622112000.

The previous prime is 2110111001099. The next prime is 2110111001107. The reversal of 2110111001100 is 11001110112.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (2110111001107) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 91688595 + ... + 91711605.

Almost surely, 2^{2110111001100} is an apocalyptic number.

2110111001100 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 2110111001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420523861524).

2110111001100 is an abundant number, since it is smaller than the sum of its proper divisors (4730936721948).

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

2110111001100 is a wasteful number, since it uses less digits than its factorization.

2110111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34358 (or 34342 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2110111001100 its reverse (11001110112), we get a palindrome (2121112111212).

The spelling of 2110111001100 in words is "two trillion, one hundred ten billion, one hundred eleven million, one thousand, one hundred".