201011221221100 has 72 divisors (see below), whose sum is σ = 440719289535168. Its totient is φ = 79571143488000.

The previous prime is 201011221221079. The next prime is 201011221221113. The reversal of 201011221221100 is 1122122110102.

It is a super-2 number, since 2×201011221221100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16927149 + ... + 26240251.

It is an arithmetic number, because the mean of its divisors is an integer number (6121101243544).

Almost surely, 2^{201011221221100} is an apocalyptic number.

201011221221100 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 201011221221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220359644767584).

201011221221100 is an abundant number, since it is smaller than the sum of its proper divisors (239708068314068).

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

201011221221100 is a wasteful number, since it uses less digits than its factorization.

201011221221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9315355 (or 9315348 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201011221221100 its reverse (1122122110102), we get a palindrome (202133343331202).

The spelling of 201011221221100 in words is "two hundred one trillion, eleven billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred".