2102001110000 has 600 divisors, whose sum is σ = 5738152266000. Its totient is φ = 744972800000.

The previous prime is 2102001109997. The next prime is 2102001110017. The reversal of 2102001110000 is 111002012.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2102001110000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14107389926 + ... + 14107390074.

It is an arithmetic number, because the mean of its divisors is an integer number (9563587110).

Almost surely, 2^{2102001110000} is an apocalyptic number.

2102001110000 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 2102001110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869076133000).

2102001110000 is an abundant number, since it is smaller than the sum of its proper divisors (3636151156000).

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

2102001110000 is a wasteful number, since it uses less digits than its factorization.

2102001110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 387 counting only the distinct ones).

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

Adding to 2102001110000 its reverse (111002012), we get a palindrome (2102112112012).

The spelling of 2102001110000 in words is "two trillion, one hundred two billion, one million, one hundred ten thousand".