102100221200 has 60 divisors (see below), whose sum is σ = 247824698100. Its totient is φ = 40419041280.

The previous prime is 102100221187. The next prime is 102100221203. The reversal of 102100221200 is 2122001201.

It is a happy number.

102100221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5112822016 + 96987399184 = 71504^2 + 311428^2 .

It is not an unprimeable number, because it can be changed into a prime (102100221203) 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 11 ways as a sum of consecutive naturals, for example, 1276925 + ... + 1354524.

It is an arithmetic number, because the mean of its divisors is an integer number (4130411635).

Almost surely, 2^102100221200 is an apocalyptic number.

102100221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100221200 is an abundant number, since it is smaller than the sum of its proper divisors (145724476900).

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

102100221200 is a wasteful number, since it uses less digits than its factorization.

102100221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631564 (or 2631553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102100221200 its reverse (2122001201), we get a palindrome (104222222401).

The spelling of 102100221200 in words is "one hundred two billion, one hundred million, two hundred twenty-one thousand, two hundred".