100033000112 has 40 divisors (see below), whose sum is σ = 194735415600. Its totient is φ = 49778871552.

The previous prime is 100033000103. The next prime is 100033000121. The reversal of 100033000112 is 211000330001.

It is an interprime number because it is at equal distance from previous prime (100033000103) and next prime (100033000121).

It is a super-2 number, since 2×100033000112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100033000093 and 100033000102.

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 7 ways as a sum of consecutive naturals, for example, 16840439 + ... + 16846377.

It is an arithmetic number, because the mean of its divisors is an integer number (4868385390).

Almost surely, 2^100033000112 is an apocalyptic number.

It is an amenable number.

100033000112 is a deficient number, since it is larger than the sum of its proper divisors (94702415488).

100033000112 is a wasteful number, since it uses less digits than its factorization.

100033000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10773 (or 10767 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100033000112 its reverse (211000330001), we get a palindrome (311033330113).

The spelling of 100033000112 in words is "one hundred billion, thirty-three million, one hundred twelve", and thus it is an aban number.