200100002120 has 32 divisors (see below), whose sum is σ = 476708830200. Its totient is φ = 75331765248.

The previous prime is 200100002111. The next prime is 200100002129. The reversal of 200100002120 is 21200001002.

It is an interprime number because it is at equal distance from previous prime (200100002111) and next prime (200100002129).

It can be written as a sum of positive squares in 4 ways, for example, as 200000361796 + 99640324 = 447214^2 + 9982^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 200100002098 and 200100002107.

It is not an unprimeable number, because it can be changed into a prime (200100002129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147131675 + ... + 147133034.

Almost surely, 2^200100002120 is an apocalyptic number.

200100002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100002120 is an abundant number, since it is smaller than the sum of its proper divisors (276608828080).

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

200100002120 is a wasteful number, since it uses less digits than its factorization.

200100002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294264737 (or 294264733 counting only the distinct ones).

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

Adding to 200100002120 its reverse (21200001002), we get a palindrome (221300003122).

The spelling of 200100002120 in words is "two hundred billion, one hundred million, two thousand, one hundred twenty".