102110120112 has 640 divisors, whose sum is σ = 383015485440. Its totient is φ = 22559109120.

The previous prime is 102110120089. The next prime is 102110120129. The reversal of 102110120112 is 211021011201.

102110120112 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33776233 + ... + 33779255.

It is an arithmetic number, because the mean of its divisors is an integer number (598461696).

Almost surely, 2^102110120112 is an apocalyptic number.

102110120112 is a gapful number since it is divisible by the number (12) 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 102110120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191507742720).

102110120112 is an abundant number, since it is smaller than the sum of its proper divisors (280905365328).

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

102110120112 is a wasteful number, since it uses less digits than its factorization.

102110120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102110120112 its reverse (211021011201), we get a palindrome (313131131313).

It can be divided in two parts, 102110 and 120112, that added together give a palindrome (222222).

The spelling of 102110120112 in words is "one hundred two billion, one hundred ten million, one hundred twenty thousand, one hundred twelve".