1010112122120 has 32 divisors (see below), whose sum is σ = 2295254781720. Its totient is φ = 400044403200.

The previous prime is 1010112122111. The next prime is 1010112122191. The reversal of 1010112122120 is 212212110101.

It can be written as a sum of positive squares in 4 ways, for example, as 954228107716 + 55884014404 = 976846^2 + 236398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1010112122095 and 1010112122104.

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, 125009837 + ... + 125017916.

Almost surely, 2^{1010112122120} is an apocalyptic number.

1010112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010112122120 is an abundant number, since it is smaller than the sum of its proper divisors (1285142659600).

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

1010112122120 is a wasteful number, since it uses less digits than its factorization.

1010112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250027865 (or 250027861 counting only the distinct ones).

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

Adding to 1010112122120 its reverse (212212110101), we get a palindrome (1222324232221).

The spelling of 1010112122120 in words is "one trillion, ten billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".