201101221210000 has 200 divisors, whose sum is σ = 489123100930464. Its totient is φ = 80071125120000.

The previous prime is 201101221209991. The next prime is 201101221210003. The reversal of 201101221210000 is 12122101102.

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

It is not an unprimeable number, because it can be changed into a prime (201101221210003) 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, 9103298955 + ... + 9103321045.

Almost surely, 2^{201101221210000} is an apocalyptic number.

201101221210000 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 201101221210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244561550465232).

201101221210000 is an abundant number, since it is smaller than the sum of its proper divisors (288021879720464).

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

201101221210000 is a wasteful number, since it uses less digits than its factorization.

201101221210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26259 (or 26238 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201101221210000 its reverse (12122101102), we get a palindrome (201113343311102).

The spelling of 201101221210000 in words is "two hundred one trillion, one hundred one billion, two hundred twenty-one million, two hundred ten thousand".