102111301120 has 80 divisors (see below), whose sum is σ = 247778047440. Its totient is φ = 40352333824.

The previous prime is 102111301079. The next prime is 102111301151. The reversal of 102111301120 is 21103111201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 102111301120.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 27805 + ... + 452764.

It is an arithmetic number, because the mean of its divisors is an integer number (3097225593).

Almost surely, 2^102111301120 is an apocalyptic number.

102111301120 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 102111301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123889023720).

102111301120 is an abundant number, since it is smaller than the sum of its proper divisors (145666746320).

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

102111301120 is an frugal number, since it uses more digits than its factorization.

102111301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480675 (or 480659 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102111301120 its reverse (21103111201), we get a palindrome (123214412321).

The spelling of 102111301120 in words is "one hundred two billion, one hundred eleven million, three hundred one thousand, one hundred twenty".