1102112122120 has 32 divisors (see below), whose sum is σ = 2565260976600. Its totient is φ = 425643301888.

The previous prime is 1102112122103. The next prime is 1102112122123. The reversal of 1102112122120 is 212212112011.

It can be written as a sum of positive squares in 4 ways, for example, as 625070496996 + 477041625124 = 790614^2 + 690682^2 .

It is a super-2 number, since 2×1102112122120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1102112122094 and 1102112122103.

It is not an unprimeable number, because it can be changed into a prime (1102112122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475047169 + ... + 475049488.

Almost surely, 2^{1102112122120} is an apocalyptic number.

1102112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102112122120 is an abundant number, since it is smaller than the sum of its proper divisors (1463148854480).

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

1102112122120 is a wasteful number, since it uses less digits than its factorization.

1102112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950096697 (or 950096693 counting only the distinct ones).

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

Adding to 1102112122120 its reverse (212212112011), we get a palindrome (1314324234131).

The spelling of 1102112122120 in words is "one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".