102201104 has 40 divisors (see below), whose sum is σ = 210414360. Its totient is φ = 47996928.

The previous prime is 102201101. The next prime is 102201109. The reversal of 102201104 is 401102201.

It can be written as a sum of positive squares in 4 ways, for example, as 8111104 + 94090000 = 2848^2 + 9700^2 .

It is not an unprimeable number, because it can be changed into a prime (102201101) 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 7 ways as a sum of consecutive naturals, for example, 14192 + ... + 20144.

It is an arithmetic number, because the mean of its divisors is an integer number (5260359).

Almost surely, 2^102201104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105207180).

102201104 is an abundant number, since it is smaller than the sum of its proper divisors (108213256).

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

102201104 is a wasteful number, since it uses less digits than its factorization.

102201104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6027 (or 6021 counting only the distinct ones).

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

The square root of 102201104 is about 10109.4561673712. The cubic root of 102201104 is about 467.5397379168.

Adding to 102201104 its reverse (401102201), we get a palindrome (503303305).

The spelling of 102201104 in words is "one hundred two million, two hundred one thousand, one hundred four".