120121101020112 has 160 divisors (see below), whose sum is σ = 327566587075200. Its totient is φ = 37872664467456.

The previous prime is 120121101020057. The next prime is 120121101020227. The reversal of 120121101020112 is 211020101121021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120121101020091 and 120121101020100.

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, 47383038 + ... + 49853730.

It is an arithmetic number, because the mean of its divisors is an integer number (2047291169220).

Almost surely, 2^{120121101020112} is an apocalyptic number.

120121101020112 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 120121101020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163783293537600).

120121101020112 is an abundant number, since it is smaller than the sum of its proper divisors (207445486055088).

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

120121101020112 is a wasteful number, since it uses less digits than its factorization.

120121101020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471445 (or 2471439 counting only the distinct ones).

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

Adding to 120121101020112 its reverse (211020101121021), we get a palindrome (331141202141133).

The spelling of 120121101020112 in words is "one hundred twenty trillion, one hundred twenty-one billion, one hundred one million, twenty thousand, one hundred twelve".