201022330011100 has 144 divisors (see below), whose sum is σ = 481192603452288. Its totient is φ = 72428833935360.

The previous prime is 201022330011091. The next prime is 201022330011131. The reversal of 201022330011100 is 1110033220102.

It is a super-2 number, since 2×201022330011100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 15709314 + ... + 25472086.

It is an arithmetic number, because the mean of its divisors is an integer number (3341615301752).

Almost surely, 2^{201022330011100} is an apocalyptic number.

201022330011100 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 201022330011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240596301726144).

201022330011100 is an abundant number, since it is smaller than the sum of its proper divisors (280170273441188).

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

201022330011100 is a wasteful number, since it uses less digits than its factorization.

201022330011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9763184 (or 9763177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 201022330011100 its reverse (1110033220102), we get a palindrome (202132363231202).

The spelling of 201022330011100 in words is "two hundred one trillion, twenty-two billion, three hundred thirty million, eleven thousand, one hundred".