120011102100112 has 20 divisors (see below), whose sum is σ = 232521912137340. Its totient is φ = 60005447355008.

The previous prime is 120011102100103. The next prime is 120011102100137. The reversal of 120011102100112 is 211001201110021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 64913379789456 + 55097722310656 = 8056884^2 + 7422784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120011102100092 and 120011102100101.

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 3 ways as a sum of consecutive naturals, for example, 3536358 + ... + 15891130.

It is an arithmetic number, because the mean of its divisors is an integer number (11626095606867).

Almost surely, 2^{120011102100112} is an apocalyptic number.

It is an amenable number.

120011102100112 is a deficient number, since it is larger than the sum of its proper divisors (112510810037228).

120011102100112 is a wasteful number, since it uses less digits than its factorization.

120011102100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12961890 (or 12961884 counting only the distinct ones).

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

Adding to 120011102100112 its reverse (211001201110021), we get a palindrome (331012303210133).

Subtracting 120011102100112 from its reverse (211001201110021), we obtain a palindrome (90990099009909).

The spelling of 120011102100112 in words is "one hundred twenty trillion, eleven billion, one hundred two million, one hundred thousand, one hundred twelve".