2102100112000 has 384 divisors, whose sum is σ = 6304000884480. Its totient is φ = 682774272000.

The previous prime is 2102100111997. The next prime is 2102100112033. The reversal of 2102100112000 is 2110012012.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 40406005 + ... + 40457995.

It is an arithmetic number, because the mean of its divisors is an integer number (16416668970).

Almost surely, 2^{2102100112000} is an apocalyptic number.

2102100112000 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 2102100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152000442240).

2102100112000 is an abundant number, since it is smaller than the sum of its proper divisors (4201900772480).

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

2102100112000 is an equidigital number, since it uses as much as digits as its factorization.

2102100112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52065 (or 52024 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2102100112000 its reverse (2110012012), we get a palindrome (2104210124012).

The spelling of 2102100112000 in words is "two trillion, one hundred two billion, one hundred million, one hundred twelve thousand".