100112302133 has 24 divisors (see below), whose sum is σ = 109157875848. Its totient is φ = 91488264192.

The previous prime is 100112302123. The next prime is 100112302153. The reversal of 100112302133 is 331203211001.

It can be written as a sum of positive squares in 12 ways, for example, as 10970048644 + 89142253489 = 104738^2 + 298567^2 .

It is not a de Polignac number, because 100112302133 - 2⁴ = 100112302117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112302123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4621235 + ... + 4642847.

It is an arithmetic number, because the mean of its divisors is an integer number (4548244827).

Almost surely, 2^100112302133 is an apocalyptic number.

It is an amenable number.

100112302133 is a deficient number, since it is larger than the sum of its proper divisors (9045573715).

100112302133 is an equidigital number, since it uses as much as digits as its factorization.

100112302133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21833 (or 21780 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100112302133 its reverse (331203211001), we get a palindrome (431315513134).

The spelling of 100112302133 in words is "one hundred billion, one hundred twelve million, three hundred two thousand, one hundred thirty-three".