221003130011100 has 288 divisors, whose sum is σ = 688582287912960. Its totient is φ = 54522789642240.

The previous prime is 221003130011087. The next prime is 221003130011101. The reversal of 221003130011100 is 1110031300122.

It is a happy number.

It is a super-2 number, since 2×221003130011100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221003130011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221003130011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4948879972 + ... + 4948924628.

It is an arithmetic number, because the mean of its divisors is an integer number (2390910721920).

Almost surely, 2^{221003130011100} is an apocalyptic number.

221003130011100 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 221003130011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344291143956480).

221003130011100 is an abundant number, since it is smaller than the sum of its proper divisors (467579157901860).

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

221003130011100 is a wasteful number, since it uses less digits than its factorization.

221003130011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61197 (or 61190 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 221003130011100 its reverse (1110031300122), we get a palindrome (222113161311222).

The spelling of 221003130011100 in words is "two hundred twenty-one trillion, three billion, one hundred thirty million, eleven thousand, one hundred".