200121102000 has 240 divisors, whose sum is σ = 704300145120. Its totient is φ = 52957632000.

The previous prime is 200121101987. The next prime is 200121102079. The reversal of 200121102000 is 201121002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2315566 + ... + 2400434.

It is an arithmetic number, because the mean of its divisors is an integer number (2934583938).

Almost surely, 2^200121102000 is an apocalyptic number.

200121102000 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 200121102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352150072560).

200121102000 is an abundant number, since it is smaller than the sum of its proper divisors (504179043120).

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

200121102000 is a wasteful number, since it uses less digits than its factorization.

200121102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85029 (or 85010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200121102000 its reverse (201121002), we get a palindrome (200322223002).

The spelling of 200121102000 in words is "two hundred billion, one hundred twenty-one million, one hundred two thousand".