102221400 has 48 divisors (see below), whose sum is σ = 316888200. Its totient is φ = 27258880.

The previous prime is 102221377. The next prime is 102221401. The reversal of 102221400 is 4122201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84585 + ... + 85784.

Almost surely, 2^102221400 is an apocalyptic number.

102221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221400 is an abundant number, since it is smaller than the sum of its proper divisors (214666800).

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

102221400 is a wasteful number, since it uses less digits than its factorization.

102221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170388 (or 170379 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102221400 is about 10110.4599301911. The cubic root of 102221400 is about 467.5706852617.

Adding to 102221400 its reverse (4122201), we get a palindrome (106343601).

It can be divided in two parts, 1022 and 21400, that added together give a palindrome (22422).

The spelling of 102221400 in words is "one hundred two million, two hundred twenty-one thousand, four hundred".