2102120110200 has 384 divisors, whose sum is σ = 7314394348800. Its totient is φ = 494989824000.

The previous prime is 2102120110171. The next prime is 2102120110243. The reversal of 2102120110200 is 20110212012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61950439 + ... + 61984361.

It is an arithmetic number, because the mean of its divisors is an integer number (19047901950).

Almost surely, 2^{2102120110200} is an apocalyptic number.

2102120110200 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 2102120110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657197174400).

2102120110200 is an abundant number, since it is smaller than the sum of its proper divisors (5212274238600).

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

2102120110200 is a wasteful number, since it uses less digits than its factorization.

2102120110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34223 (or 34214 counting only the distinct ones).

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

Adding to 2102120110200 its reverse (20110212012), we get a palindrome (2122230322212).

The spelling of 2102120110200 in words is "two trillion, one hundred two billion, one hundred twenty million, one hundred ten thousand, two hundred".