10121120120120 has 64 divisors (see below), whose sum is σ = 22826620998720. Its totient is φ = 4038833470464.

The previous prime is 10121120120119. The next prime is 10121120120129. The reversal of 10121120120120 is 2102102112101.

It is a super-3 number, since 3×10121120120120³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121120120095 and 10121120120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121120120129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103287869 + ... + 103385811.

It is an arithmetic number, because the mean of its divisors is an integer number (356665953105).

Almost surely, 2^{10121120120120} is an apocalyptic number.

10121120120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121120120120 is an abundant number, since it is smaller than the sum of its proper divisors (12705500878600).

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

10121120120120 is a wasteful number, since it uses less digits than its factorization.

10121120120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104064 (or 104060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10121120120120 its reverse (2102102112101), we get a palindrome (12223222232221).

The spelling of 10121120120120 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty".