100133133021 has 12 divisors (see below), whose sum is σ = 144742109148. Its totient is φ = 66706793664.

The previous prime is 100133133013. The next prime is 100133133029. The reversal of 100133133021 is 120331331001.

It is a happy number.

100133133021 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 331 + 330 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (100133133013) and next prime (100133133029).

It can be written as a sum of positive squares in 2 ways, for example, as 84878412921 + 15254720100 = 291339^2 + 123510^2 .

It is not a de Polignac number, because 100133133021 - 2³ = 100133133013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100133132985 and 100133133003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133133029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4039320 + ... + 4064033.

It is an arithmetic number, because the mean of its divisors is an integer number (12061842429).

Almost surely, 2^100133133021 is an apocalyptic number.

It is an amenable number.

100133133021 is a deficient number, since it is larger than the sum of its proper divisors (44608976127).

100133133021 is a wasteful number, since it uses less digits than its factorization.

100133133021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8104732 (or 8104729 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100133133021 its reverse (120331331001), we get a palindrome (220464464022).

The spelling of 100133133021 in words is "one hundred billion, one hundred thirty-three million, one hundred thirty-three thousand, twenty-one".