2111102101100 has 144 divisors (see below), whose sum is σ = 4969871491200. Its totient is φ = 775766315520.

The previous prime is 2111102101099. The next prime is 2111102101117. The reversal of 2111102101100 is 11012011112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11263352 + ... + 11449248.

Almost surely, 2^{2111102101100} is an apocalyptic number.

2111102101100 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 2111102101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484935745600).

2111102101100 is an abundant number, since it is smaller than the sum of its proper divisors (2858769390100).

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

2111102101100 is a wasteful number, since it uses less digits than its factorization.

2111102101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186112 (or 186105 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2111102101100 its reverse (11012011112), we get a palindrome (2122114112212).

The spelling of 2111102101100 in words is "two trillion, one hundred eleven billion, one hundred two million, one hundred one thousand, one hundred".