2103084285120 has 896 divisors, whose sum is σ = 9244352839680. Its totient is φ = 443714236416.

The previous prime is 2103084285089. The next prime is 2103084285121. The reversal of 2103084285120 is 215824803012.

It is a happy number.

2103084285120 is a `hidden beast` number, since 2 + 10 + 30 + 84 + 28 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2103084285121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63668929 + ... + 63701951.

It is an arithmetic number, because the mean of its divisors is an integer number (10317358080).

Almost surely, 2^{2103084285120} is an apocalyptic number.

2103084285120 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 2103084285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622176419840).

2103084285120 is an abundant number, since it is smaller than the sum of its proper divisors (7141268554560).

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

2103084285120 is an equidigital number, since it uses as much as digits as its factorization.

2103084285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33081 (or 33053 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2103084285120 in words is "two trillion, one hundred three billion, eighty-four million, two hundred eighty-five thousand, one hundred twenty".