200101021011200 has 216 divisors, whose sum is σ = 521377114104000. Its totient is φ = 75823626977280.

The previous prime is 200101021011187. The next prime is 200101021011247. The reversal of 200101021011200 is 2110120101002.

200101021011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3136396901 + ... + 3136460699.

Almost surely, 2^{200101021011200} is an apocalyptic number.

200101021011200 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 200101021011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260688557052000).

200101021011200 is an abundant number, since it is smaller than the sum of its proper divisors (321276093092800).

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

200101021011200 is a wasteful number, since it uses less digits than its factorization.

200101021011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89637 (or 89618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200101021011200 its reverse (2110120101002), we get a palindrome (202211141112202).

The spelling of 200101021011200 in words is "two hundred trillion, one hundred one billion, twenty-one million, eleven thousand, two hundred".