201221221010000 has 200 divisors, whose sum is σ = 492076116987840. Its totient is φ = 79680740608000.

The previous prime is 201221221009981. The next prime is 201221221010009. The reversal of 201221221010000 is 10122122102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221221010009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 947963879 + ... + 948176121.

Almost surely, 2^{201221221010000} is an apocalyptic number.

201221221010000 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 201221221010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246038058493920).

201221221010000 is an abundant number, since it is smaller than the sum of its proper divisors (290854895977840).

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

201221221010000 is a wasteful number, since it uses less digits than its factorization.

201221221010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213223 (or 213202 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201221221010000 its reverse (10122122102), we get a palindrome (201231343132102).

The spelling of 201221221010000 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred twenty-one million, ten thousand".