10011201112120 has 32 divisors (see below), whose sum is σ = 24257910388320. Its totient is φ = 3696443487360.

The previous prime is 10011201112109. The next prime is 10011201112151. The reversal of 10011201112120 is 2121110211001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10011201112120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9626154396 + ... + 9626155435.

It is an arithmetic number, because the mean of its divisors is an integer number (758059699635).

Almost surely, 2^{10011201112120} is an apocalyptic number.

10011201112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011201112120 is an abundant number, since it is smaller than the sum of its proper divisors (14246709276200).

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

10011201112120 is a wasteful number, since it uses less digits than its factorization.

10011201112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19252309855 (or 19252309851 counting only the distinct ones).

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

Adding to 10011201112120 its reverse (2121110211001), we get a palindrome (12132311323121).

The spelling of 10011201112120 in words is "ten trillion, eleven billion, two hundred one million, one hundred twelve thousand, one hundred twenty".