102111120 has 120 divisors (see below), whose sum is σ = 352283256. Its totient is φ = 26486784.

The previous prime is 102111103. The next prime is 102111151. The reversal of 102111120 is 21111201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15397776 + 86713344 = 3924^2 + 9312^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24724 + ... + 28556.

Almost surely, 2^102111120 is an apocalyptic number.

102111120 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 102111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176141628).

102111120 is an abundant number, since it is smaller than the sum of its proper divisors (250172136).

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

102111120 is a wasteful number, since it uses less digits than its factorization.

102111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 102111120 is about 10105.0047006422. The cubic root of 102111120 is about 467.4024809223.

Adding to 102111120 its reverse (21111201), we get a palindrome (123222321).

The spelling of 102111120 in words is "one hundred two million, one hundred eleven thousand, one hundred twenty".