200202112110000 has 4800 divisors, whose sum is σ = 944946395559936. Its totient is φ = 36063498240000.

The previous prime is 200202112109999. The next prime is 200202112110019. The reversal of 200202112110000 is 11211202002.

200202112110000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 432401969769 + ... + 432401970231.

Almost surely, 2^{200202112110000} is an apocalyptic number.

200202112110000 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 200202112110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472473197779968).

200202112110000 is an abundant number, since it is smaller than the sum of its proper divisors (744744283449936).

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

200202112110000 is a wasteful number, since it uses less digits than its factorization.

200202112110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200202112110000 its reverse (11211202002), we get a palindrome (200213323312002).

The spelling of 200202112110000 in words is "two hundred trillion, two hundred two billion, one hundred twelve million, one hundred ten thousand".