1011011122120 has 32 divisors (see below), whose sum is σ = 2275178932800. Its totient is φ = 404332643008.

The previous prime is 1011011122117. The next prime is 1011011122157. The reversal of 1011011122120 is 212211101101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011011122120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2015554 + ... + 2466673.

It is an arithmetic number, because the mean of its divisors is an integer number (71099341650).

Almost surely, 2^{1011011122120} is an apocalyptic number.

1011011122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011011122120 is an abundant number, since it is smaller than the sum of its proper divisors (1264167810680).

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

1011011122120 is a wasteful number, since it uses less digits than its factorization.

1011011122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487877 (or 4487873 counting only the distinct ones).

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

Adding to 1011011122120 its reverse (212211101101), we get a palindrome (1223222223221).

It can be divided in two parts, 101101 and 1122120, that added together give a palindrome (1223221).

The spelling of 1011011122120 in words is "one trillion, eleven billion, eleven million, one hundred twenty-two thousand, one hundred twenty".