10012112102133 has 36 divisors (see below), whose sum is σ = 14672431915908. Its totient is φ = 6578910074880.

The previous prime is 10012112102131. The next prime is 10012112102143. The reversal of 10012112102133 is 33120121121001.

It can be written as a sum of positive squares in 6 ways, for example, as 5646716143524 + 4365395958609 = 2376282^2 + 2089353^2 .

It is not a de Polignac number, because 10012112102133 - 2¹ = 10012112102131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012112102131) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 22377093 + ... + 22820133.

Almost surely, 2^{10012112102133} is an apocalyptic number.

It is an amenable number.

10012112102133 is a deficient number, since it is larger than the sum of its proper divisors (4660319813775).

10012112102133 is an equidigital number, since it uses as much as digits as its factorization.

10012112102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443542 (or 443450 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10012112102133 its reverse (33120121121001), we get a palindrome (43132233223134).

The spelling of 10012112102133 in words is "ten trillion, twelve billion, one hundred twelve million, one hundred two thousand, one hundred thirty-three".