200020002120100 has 36 divisors (see below), whose sum is σ = 434049449190084. Its totient is φ = 80006886638080.

The previous prime is 200020002120097. The next prime is 200020002120173. The reversal of 200020002120100 is 1021200020002.

It can be written as a sum of positive squares in 6 ways, for example, as 15900124350016 + 184119877770084 = 3987496^2 + 13569078^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6692329 + ... + 21090928.

It is an arithmetic number, because the mean of its divisors is an integer number (12056929144169).

Almost surely, 2^{200020002120100} is an apocalyptic number.

200020002120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200020002120100 is an abundant number, since it is smaller than the sum of its proper divisors (234029447069984).

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

200020002120100 is a wasteful number, since it uses less digits than its factorization.

200020002120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27855264 (or 27855257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200020002120100 its reverse (1021200020002), we get a palindrome (201041202140102).

The spelling of 200020002120100 in words is "two hundred trillion, twenty billion, two million, one hundred twenty thousand, one hundred".