10120121110120 has 96 divisors (see below), whose sum is σ = 27203756527080. Its totient is φ = 3375978600960.

The previous prime is 10120121110037. The next prime is 10120121110123. The reversal of 10120121110120 is 2101112102101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9547123584964 + 572997525156 = 3089842^2 + 756966^2 .

It is a super-2 number, since 2×10120121110120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10120121110120.

It is not an unprimeable number, because it can be changed into a prime (10120121110123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69702171 + ... + 69847210.

Almost surely, 2^{10120121110120} is an apocalyptic number.

10120121110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120121110120 is an abundant number, since it is smaller than the sum of its proper divisors (17083635416960).

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

10120121110120 is a wasteful number, since it uses less digits than its factorization.

10120121110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139549443 (or 139549432 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10120121110120 its reverse (2101112102101), we get a palindrome (12221233212221).

The spelling of 10120121110120 in words is "ten trillion, one hundred twenty billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".