102221133120 has 168 divisors, whose sum is σ = 351717879240. Its totient is φ = 27249684480.

The previous prime is 102221133109. The next prime is 102221133121. The reversal of 102221133120 is 21331122201.

102221133120 is a `hidden beast` number, since 102 + 2 + 211 + 331 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21991703616 + 80229429504 = 148296^2 + 283248^2 .

It is a super-3 number, since 3×102221133120³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102221133093 and 102221133102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14456946 + ... + 14464014.

It is an arithmetic number, because the mean of its divisors is an integer number (2093558805).

Almost surely, 2^102221133120 is an apocalyptic number.

102221133120 is a gapful number since it is divisible by the number (10) 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 102221133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175858939620).

102221133120 is an abundant number, since it is smaller than the sum of its proper divisors (249496746120).

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

102221133120 is a wasteful number, since it uses less digits than its factorization.

102221133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12113 (or 12100 counting only the distinct ones).

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

Adding to 102221133120 its reverse (21331122201), we get a palindrome (123552255321).

The spelling of 102221133120 in words is "one hundred two billion, two hundred twenty-one million, one hundred thirty-three thousand, one hundred twenty".