10011122201120 has 96 divisors (see below), whose sum is σ = 24934564368000. Its totient is φ = 3787824162816.

The previous prime is 10011122201089. The next prime is 10011122201141. The reversal of 10011122201120 is 2110222111001.

It is a super-3 number, since 3×10011122201120³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011122201095 and 10011122201104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 578045 + ... + 4511804.

It is an arithmetic number, because the mean of its divisors is an integer number (259735045500).

Almost surely, 2^{10011122201120} is an apocalyptic number.

10011122201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011122201120 is an abundant number, since it is smaller than the sum of its proper divisors (14923442166880).

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

10011122201120 is a wasteful number, since it uses less digits than its factorization.

10011122201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090530 (or 5090522 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10011122201120 its reverse (2110222111001), we get a palindrome (12121344312121).

The spelling of 10011122201120 in words is "ten trillion, eleven billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".