200202101012000 has 96 divisors (see below), whose sum is σ = 491938248385584. Its totient is φ = 80074053888000.

The previous prime is 200202101011987. The next prime is 200202101012033. The reversal of 200202101012000 is 210101202002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3467029104016 + 196735071907984 = 1861996^2 + 14026228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45217130 + ... + 49446870.

Almost surely, 2^{200202101012000} is an apocalyptic number.

200202101012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200202101012000 is an abundant number, since it is smaller than the sum of its proper divisors (291736147373584).

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

200202101012000 is a wasteful number, since it uses less digits than its factorization.

200202101012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241599 (or 4241581 counting only the distinct ones).

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

Adding to 200202101012000 its reverse (210101202002), we get a palindrome (200412202214002).

The spelling of 200202101012000 in words is "two hundred trillion, two hundred two billion, one hundred one million, twelve thousand".