200122100000200 has 144 divisors (see below), whose sum is σ = 546038411634180. Its totient is φ = 68006093783040.

The previous prime is 200122100000189. The next prime is 200122100000201. The reversal of 200122100000200 is 2000001221002.

It can be written as a sum of positive squares in 6 ways, for example, as 77106628357444 + 123015471642756 = 8781038^2 + 11091234^2 .

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

It is not an unprimeable number, because it can be changed into a prime (200122100000201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89249337 + ... + 91464136.

Almost surely, 2^{200122100000200} is an apocalyptic number.

200122100000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200122100000200 is an abundant number, since it is smaller than the sum of its proper divisors (345916311633980).

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

200122100000200 is a wasteful number, since it uses less digits than its factorization.

200122100000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180713616 (or 180713600 counting only the distinct ones).

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

Adding to 200122100000200 its reverse (2000001221002), we get a palindrome (202122101221202).

The spelling of 200122100000200 in words is "two hundred trillion, one hundred twenty-two billion, one hundred million, two hundred", and thus it is an aban number.