1012111112033 has 12 divisors (see below), whose sum is σ = 1177370140500. Its totient is φ = 867511727712.

The previous prime is 1012111112029. The next prime is 1012111112041. The reversal of 1012111112033 is 3302111112101.

It can be written as a sum of positive squares in 2 ways, for example, as 314298148129 + 697812963904 = 560623^2 + 835352^2 .

It is not a de Polignac number, because 1012111112033 - 2² = 1012111112029 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012111112083) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6683843 + ... + 6833591.

It is an arithmetic number, because the mean of its divisors is an integer number (98114178375).

Almost surely, 2^{1012111112033} is an apocalyptic number.

It is an amenable number.

1012111112033 is a deficient number, since it is larger than the sum of its proper divisors (165259028467).

1012111112033 is a wasteful number, since it uses less digits than its factorization.

1012111112033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287696 (or 287689 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1012111112033 its reverse (3302111112101), we get a palindrome (4314222224134).

The spelling of 1012111112033 in words is "one trillion, twelve billion, one hundred eleven million, one hundred twelve thousand, thirty-three".