102201120 has 144 divisors (see below), whose sum is σ = 398623680. Its totient is φ = 23357952.

The previous prime is 102201109. The next prime is 102201149. The reversal of 102201120 is 21102201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5011 + ... + 15149.

It is an arithmetic number, because the mean of its divisors is an integer number (2768220).

Almost surely, 2^102201120 is an apocalyptic number.

102201120 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 102201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199311840).

102201120 is an abundant number, since it is smaller than the sum of its proper divisors (296422560).

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

102201120 is a wasteful number, since it uses less digits than its factorization.

102201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10167 (or 10156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102201120 is about 10109.4569587095. The cubic root of 102201120 is about 467.5397623152.

Adding to 102201120 its reverse (21102201), we get a palindrome (123303321).

The spelling of 102201120 in words is "one hundred two million, two hundred one thousand, one hundred twenty".