1033120100112 has 80 divisors (see below), whose sum is σ = 2682116690688. Its totient is φ = 342667866240.

The previous prime is 1033120100107. The next prime is 1033120100113. The reversal of 1033120100112 is 2110010213301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1033120100091 and 1033120100100.

It is not an unprimeable number, because it can be changed into a prime (1033120100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68488123 + ... + 68503205.

Almost surely, 2^{1033120100112} is an apocalyptic number.

1033120100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1033120100112 is an abundant number, since it is smaller than the sum of its proper divisors (1648996590576).

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

1033120100112 is a wasteful number, since it uses less digits than its factorization.

1033120100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22068 (or 22062 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1033120100112 its reverse (2110010213301), we get a palindrome (3143130313413).

The spelling of 1033120100112 in words is "one trillion, thirty-three billion, one hundred twenty million, one hundred thousand, one hundred twelve".