2120010200 has 384 divisors, whose sum is σ = 6556723200. Its totient is φ = 618240000.

The previous prime is 2120010197. The next prime is 2120010227. The reversal of 2120010200 is 20100212.

2120010200 = 305² + 306² + ... + 1855².

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 20990150 + ... + 20990250.

It is an arithmetic number, because the mean of its divisors is an integer number (17074800).

Almost surely, 2^2120010200 is an apocalyptic number.

2120010200 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 2120010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278361600).

2120010200 is an abundant number, since it is smaller than the sum of its proper divisors (4436713000).

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

2120010200 is a wasteful number, since it uses less digits than its factorization.

2120010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

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

The square root of 2120010200 is about 46043.5684976740. The cubic root of 2120010200 is about 1284.6337179675.

Adding to 2120010200 its reverse (20100212), we get a palindrome (2140110412).

The spelling of 2120010200 in words is "two billion, one hundred twenty million, ten thousand, two hundred".