10121110121120 has 96 divisors (see below), whose sum is σ = 24737189717520. Its totient is φ = 3908598292480.

The previous prime is 10121110121117. The next prime is 10121110121123. The reversal of 10121110121120 is 2112101112101.

It is an interprime number because it is at equal distance from previous prime (10121110121117) and next prime (10121110121123).

It can be written as a sum of positive squares in 8 ways, for example, as 6984201559696 + 3136908561424 = 2642764^2 + 1771132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10121110121095 and 10121110121104.

It is not an unprimeable number, because it can be changed into a prime (10121110121123) 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, 85878554 + ... + 85996326.

Almost surely, 2^{10121110121120} is an apocalyptic number.

10121110121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121110121120 is an abundant number, since it is smaller than the sum of its proper divisors (14616079596400).

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

10121110121120 is a wasteful number, since it uses less digits than its factorization.

10121110121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136338 (or 136330 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10121110121120 its reverse (2112101112101), we get a palindrome (12233211233221).

The spelling of 10121110121120 in words is "ten trillion, one hundred twenty-one billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty".