2120102112000 has 288 divisors, whose sum is σ = 7058780374464. Its totient is φ = 564006912000.

The previous prime is 2120102111989. The next prime is 2120102112059. The reversal of 2120102112000 is 2112010212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40389772 + ... + 40442228.

It is an arithmetic number, because the mean of its divisors is an integer number (24509654078).

Almost surely, 2^{2120102112000} is an apocalyptic number.

2120102112000 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 2120102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529390187232).

2120102112000 is an abundant number, since it is smaller than the sum of its proper divisors (4938678262464).

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

2120102112000 is an equidigital number, since it uses as much as digits as its factorization.

2120102112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52912 (or 52888 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2120102112000 its reverse (2112010212), we get a palindrome (2122214122212).

The spelling of 2120102112000 in words is "two trillion, one hundred twenty billion, one hundred two million, one hundred twelve thousand".