100012022133003 has 16 divisors (see below), whose sum is σ = 148633359228960. Its totient is φ = 66464351191008.

The previous prime is 100012022132969. The next prime is 100012022133047. The reversal of 100012022133003 is 300331220210001.

100012022133003 is a `hidden beast` number, since 100 + 0 + 12 + 0 + 221 + 330 + 0 + 3 = 666.

It is not a de Polignac number, because 100012022133003 - 2²⁰ = 100012021084427 is a prime.

It is a super-2 number, since 2×100012022133003² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100012022173003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5842497700 + ... + 5842514817.

It is an arithmetic number, because the mean of its divisors is an integer number (9289584951810).

Almost surely, 2^{100012022133003} is an apocalyptic number.

100012022133003 is a deficient number, since it is larger than the sum of its proper divisors (48621337095957).

100012022133003 is a wasteful number, since it uses less digits than its factorization.

100012022133003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11685012843 (or 11685012837 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100012022133003 its reverse (300331220210001), we get a palindrome (400343242343004).

The spelling of 100012022133003 in words is "one hundred trillion, twelve billion, twenty-two million, one hundred thirty-three thousand, three".