10111120222120 has 32 divisors (see below), whose sum is σ = 22766166844200. Its totient is φ = 4041577627648.

The previous prime is 10111120222103. The next prime is 10111120222193. The reversal of 10111120222120 is 2122202111101.

10111120222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7227827925444 + 2883292296676 = 2688462^2 + 1698026^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10111120222094 and 10111120222103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89644849 + ... + 89757568.

Almost surely, 2^{10111120222120} is an apocalyptic number.

10111120222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111120222120 is an abundant number, since it is smaller than the sum of its proper divisors (12655046622080).

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

10111120222120 is a wasteful number, since it uses less digits than its factorization.

10111120222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179403837 (or 179403833 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10111120222120 its reverse (2122202111101), we get a palindrome (12233322333221).

The spelling of 10111120222120 in words is "ten trillion, one hundred eleven billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".