201220330112100 has 324 divisors, whose sum is σ = 685971201189456. Its totient is φ = 49312950785280.

The previous prime is 201220330112089. The next prime is 201220330112141. The reversal of 201220330112100 is 1211033022102.

201220330112100 is a `hidden beast` number, since 2 + 0 + 1 + 220 + 330 + 1 + 12 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 31612719 + ... + 37440681.

Almost surely, 2^{201220330112100} is an apocalyptic number.

201220330112100 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 201220330112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342985600594728).

201220330112100 is an abundant number, since it is smaller than the sum of its proper divisors (484750871077356).

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

201220330112100 is a wasteful number, since it uses less digits than its factorization.

201220330112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828236 (or 5828213 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201220330112100 its reverse (1211033022102), we get a palindrome (202431363134202).

The spelling of 201220330112100 in words is "two hundred one trillion, two hundred twenty billion, three hundred thirty million, one hundred twelve thousand, one hundred".