120102021101112 has 128 divisors (see below), whose sum is σ = 308913172485120. Its totient is φ = 38888252928000.

The previous prime is 120102021101011. The next prime is 120102021101113. The reversal of 120102021101112 is 211101120201021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120102021101091 and 120102021101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120102021101113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413984187 + ... + 414274197.

It is an arithmetic number, because the mean of its divisors is an integer number (2413384160040).

Almost surely, 2^{120102021101112} is an apocalyptic number.

120102021101112 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 120102021101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154456586242560).

120102021101112 is an abundant number, since it is smaller than the sum of its proper divisors (188811151384008).

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

120102021101112 is a wasteful number, since it uses less digits than its factorization.

120102021101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291885 (or 291881 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120102021101112 its reverse (211101120201021), we get a palindrome (331203141302133).

Subtracting 120102021101112 from its reverse (211101120201021), we obtain a palindrome (90999099099909).

The spelling of 120102021101112 in words is "one hundred twenty trillion, one hundred two billion, twenty-one million, one hundred one thousand, one hundred twelve".