102211232100 has 36 divisors (see below), whose sum is σ = 295731165744. Its totient is φ = 27256328480.

The previous prime is 102211232093. The next prime is 102211232111. The reversal of 102211232100 is 1232112201.

102211232100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 102211232100.

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 11 ways as a sum of consecutive naturals, for example, 170351754 + ... + 170352353.

It is an arithmetic number, because the mean of its divisors is an integer number (8214754604).

Almost surely, 2^102211232100 is an apocalyptic number.

102211232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211232100 is an abundant number, since it is smaller than the sum of its proper divisors (193519933644).

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

102211232100 is a wasteful number, since it uses less digits than its factorization.

102211232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340704124 (or 340704117 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102211232100 its reverse (1232112201), we get a palindrome (103443344301).

The spelling of 102211232100 in words is "one hundred two billion, two hundred eleven million, two hundred thirty-two thousand, one hundred".