10011010122120 has 128 divisors (see below), whose sum is σ = 36342490579200. Its totient is φ = 2153629065216.

The previous prime is 10011010122109. The next prime is 10011010122163. The reversal of 10011010122120 is 2122101011001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10011010122096 and 10011010122105.

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, 350511285 + ... + 350539844.

It is an arithmetic number, because the mean of its divisors is an integer number (283925707650).

Almost surely, 2^{10011010122120} is an apocalyptic number.

10011010122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011010122120 is an abundant number, since it is smaller than the sum of its proper divisors (26331480457080).

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

10011010122120 is a wasteful number, since it uses less digits than its factorization.

10011010122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701051167 (or 701051163 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011010122120 its reverse (2122101011001), we get a palindrome (12133111133121).

The spelling of 10011010122120 in words is "ten trillion, eleven billion, ten million, one hundred twenty-two thousand, one hundred twenty".