200121220110000 has 400 divisors, whose sum is σ = 739822671762944. Its totient is φ = 45648043776000.

The previous prime is 200121220109957. The next prime is 200121220110001. The reversal of 200121220110000 is 11022121002.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (200121220110001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101291604 + ... + 103248396.

Almost surely, 2^{200121220110000} is an apocalyptic number.

200121220110000 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 200121220110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369911335881472).

200121220110000 is an abundant number, since it is smaller than the sum of its proper divisors (539701451652944).

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

200121220110000 is a wasteful number, since it uses less digits than its factorization.

200121220110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957318 (or 1957297 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200121220110000 its reverse (11022121002), we get a palindrome (200132242231002).

The spelling of 200121220110000 in words is "two hundred trillion, one hundred twenty-one billion, two hundred twenty million, one hundred ten thousand".