100133002001001 has 4 divisors (see below), whose sum is σ = 133510669334672. Its totient is φ = 66755334667332.

The previous prime is 100133002000979. The next prime is 100133002001009. The reversal of 100133002001001 is 100100200331001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 100133002001001 - 2⁹ = 100133002000489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100133002001009) 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 3 ways as a sum of consecutive naturals, for example, 16688833666831 + ... + 16688833666836.

It is an arithmetic number, because the mean of its divisors is an integer number (33377667333668).

Almost surely, 2^{100133002001001} is an apocalyptic number.

It is an amenable number.

100133002001001 is a deficient number, since it is larger than the sum of its proper divisors (33377667333671).

100133002001001 is an equidigital number, since it uses as much as digits as its factorization.

100133002001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33377667333670.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100133002001001 its reverse (100100200331001), we get a palindrome (200233202332002).

The spelling of 100133002001001 in words is "one hundred trillion, one hundred thirty-three billion, two million, one thousand, one".