2100111200000 has 216 divisors, whose sum is σ = 5716047430800. Its totient is φ = 763673600000.

The previous prime is 2100111199969. The next prime is 2100111200003. The reversal of 2100111200000 is 21110012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100111200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8680676 + ... + 8919324.

It is an arithmetic number, because the mean of its divisors is an integer number (26463182550).

Almost surely, 2^{2100111200000} is an apocalyptic number.

2100111200000 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 2100111200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858023715400).

2100111200000 is an abundant number, since it is smaller than the sum of its proper divisors (3615936230800).

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

2100111200000 is an frugal number, since it uses more digits than its factorization.

2100111200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238701 (or 238667 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2100111200000 its reverse (21110012), we get a palindrome (2100132310012).

The spelling of 2100111200000 in words is "two trillion, one hundred billion, one hundred eleven million, two hundred thousand".