10120001122120 has 16 divisors (see below), whose sum is σ = 22770002524860. Its totient is φ = 4048000448832.

The previous prime is 10120001122109. The next prime is 10120001122123. The reversal of 10120001122120 is 2122110002101.

It can be written as a sum of positive squares in 2 ways, for example, as 10022758183876 + 97242938244 = 3165874^2 + 311838^2 .

It is a super-3 number, since 3×10120001122120³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10120001122120.

It is not an unprimeable number, because it can be changed into a prime (10120001122123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126500013987 + ... + 126500014066.

Almost surely, 2^{10120001122120} is an apocalyptic number.

10120001122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120001122120 is an abundant number, since it is smaller than the sum of its proper divisors (12650001402740).

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

10120001122120 is a wasteful number, since it uses less digits than its factorization.

10120001122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253000028064 (or 253000028060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10120001122120 its reverse (2122110002101), we get a palindrome (12242111124221).

The spelling of 10120001122120 in words is "ten trillion, one hundred twenty billion, one million, one hundred twenty-two thousand, one hundred twenty".