200101121210000 has 200 divisors, whose sum is σ = 485449925191704. Its totient is φ = 79877824000000.

The previous prime is 200101121209939. The next prime is 200101121210087. The reversal of 200101121210000 is 12121101002.

It can be written as a sum of positive squares in 20 ways, for example, as 146958012645376 + 53143108564624 = 12122624^2 + 7289932^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×200101121210000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15391203500 + ... + 15391216500.

Almost surely, 2^{200101121210000} is an apocalyptic number.

200101121210000 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 200101121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242724962595852).

200101121210000 is an abundant number, since it is smaller than the sum of its proper divisors (285348803981704).

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

200101121210000 is a wasteful number, since it uses less digits than its factorization.

200101121210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16039 (or 16018 counting only the distinct ones).

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

Adding to 200101121210000 its reverse (12121101002), we get a palindrome (200113242311002).

The spelling of 200101121210000 in words is "two hundred trillion, one hundred one billion, one hundred twenty-one million, two hundred ten thousand".