120020102102112 has 192 divisors, whose sum is σ = 319995763895808. Its totient is φ = 39384050688000.

The previous prime is 120020102102081. The next prime is 120020102102129. The reversal of 120020102102112 is 211201201020021.

It is a junction number, because it is equal to n+sod(n) for n = 120020102102091 and 120020102102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2530391037 + ... + 2530438467.

It is an arithmetic number, because the mean of its divisors is an integer number (1666644603624).

Almost surely, 2^{120020102102112} is an apocalyptic number.

120020102102112 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 120020102102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159997881947904).

120020102102112 is an abundant number, since it is smaller than the sum of its proper divisors (199975661793696).

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

120020102102112 is a wasteful number, since it uses less digits than its factorization.

120020102102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49093 (or 49085 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120020102102112 its reverse (211201201020021), we get a palindrome (331221303122133).

The spelling of 120020102102112 in words is "one hundred twenty trillion, twenty billion, one hundred two million, one hundred two thousand, one hundred twelve".