200201212001000 has 128 divisors (see below), whose sum is σ = 553857146668800. Its totient is φ = 66273504595200.

The previous prime is 200201212000981. The next prime is 200201212001023. The reversal of 200201212001000 is 100212102002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492903434 + ... + 493309433.

It is an arithmetic number, because the mean of its divisors is an integer number (4327008958350).

Almost surely, 2^{200201212001000} is an apocalyptic number.

200201212001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201212001000 is an abundant number, since it is smaller than the sum of its proper divisors (353655934667800).

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

200201212001000 is a wasteful number, since it uses less digits than its factorization.

200201212001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986212924 (or 986212910 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200201212001000 its reverse (100212102002), we get a palindrome (200301424103002).

The spelling of 200201212001000 in words is "two hundred trillion, two hundred one billion, two hundred twelve million, one thousand".