2120102208 has 336 divisors, whose sum is σ = 7371039360. Its totient is φ = 597445632.

The previous prime is 2120102207. The next prime is 2120102209. The reversal of 2120102208 is 8022010212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2120102207) and next prime (2120102209).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120102203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29042460 + ... + 29042532.

Almost surely, 2^2120102208 is an apocalyptic number.

2120102208 is a gapful number since it is divisible by the number (28) 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 2120102208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685519680).

2120102208 is an abundant number, since it is smaller than the sum of its proper divisors (5250937152).

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

2120102208 is an frugal number, since it uses more digits than its factorization.

2120102208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2120102208 is about 46044.5676274629. The cubic root of 2120102208 is about 1284.6523019770.

The spelling of 2120102208 in words is "two billion, one hundred twenty million, one hundred two thousand, two hundred eight".