2010201900 has 288 divisors, whose sum is σ = 7092879360. Its totient is φ = 429338880.

The previous prime is 2010201859. The next prime is 2010201911. The reversal of 2010201900 is 91020102.

It is a happy number.

It is a super-2 number, since 2×2010201900² = 8081823357527220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2010201900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3311397 + ... + 3312003.

Almost surely, 2^2010201900 is an apocalyptic number.

2010201900 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 2010201900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546439680).

2010201900 is an abundant number, since it is smaller than the sum of its proper divisors (5082677460).

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

2010201900 is a wasteful number, since it uses less digits than its factorization.

2010201900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2010201900 is about 44835.2751747996. The cubic root of 2010201900 is about 1262.0596824137.

The spelling of 2010201900 in words is "two billion, ten million, two hundred one thousand, nine hundred".