200201110020000 has 180 divisors, whose sum is σ = 711424655151210. Its totient is φ = 53386962624000.

The previous prime is 200201110019983. The next prime is 200201110020059. The reversal of 200201110020000 is 20011102002.

200201110020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 20446060279824 + 179755049740176 = 4521732^2 + 13407276^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 555934195 + ... + 556294194.

Almost surely, 2^{200201110020000} is an apocalyptic number.

200201110020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201110020000 is an abundant number, since it is smaller than the sum of its proper divisors (511223545131210).

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

200201110020000 is a wasteful number, since it uses less digits than its factorization.

200201110020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112228425 (or 1112228399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200201110020000 its reverse (20011102002), we get a palindrome (200221121122002).

The spelling of 200201110020000 in words is "two hundred trillion, two hundred one billion, one hundred ten million, twenty thousand".