102111220120 has 256 divisors, whose sum is σ = 302783443200. Its totient is φ = 30072176640.

The previous prime is 102111220111. The next prime is 102111220121. The reversal of 102111220120 is 21022111201.

102111220120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 102111220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111220121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5498050 + ... + 5516590.

It is an arithmetic number, because the mean of its divisors is an integer number (1182747825).

Almost surely, 2^102111220120 is an apocalyptic number.

102111220120 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 102111220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151391721600).

102111220120 is an abundant number, since it is smaller than the sum of its proper divisors (200672223080).

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

102111220120 is a wasteful number, since it uses less digits than its factorization.

102111220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18678 (or 18674 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102111220120 its reverse (21022111201), we get a palindrome (123133331321).

The spelling of 102111220120 in words is "one hundred two billion, one hundred eleven million, two hundred twenty thousand, one hundred twenty".