100012120133 has 12 divisors (see below), whose sum is σ = 101926883628. Its totient is φ = 98106951360.

The previous prime is 100012120097. The next prime is 100012120151. The reversal of 100012120133 is 331021210001.

It can be written as a sum of positive squares in 2 ways, for example, as 41049596449 + 58962523684 = 202607^2 + 242822^2 .

It is not a de Polignac number, because 100012120133 - 2⁶ = 100012120069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012126133) 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 11 ways as a sum of consecutive naturals, for example, 8942441 + ... + 8953617.

It is an arithmetic number, because the mean of its divisors is an integer number (8493906969).

Almost surely, 2^100012120133 is an apocalyptic number.

It is an amenable number.

100012120133 is a deficient number, since it is larger than the sum of its proper divisors (1914763495).

100012120133 is an frugal number, since it uses more digits than its factorization.

100012120133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004 (or 11621 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100012120133 its reverse (331021210001), we get a palindrome (431033330134).

The spelling of 100012120133 in words is "one hundred billion, twelve million, one hundred twenty thousand, one hundred thirty-three".