100133440221 has 8 divisors (see below), whose sum is σ = 138115090080. Its totient is φ = 64453708592.

The previous prime is 100133440219. The next prime is 100133440223. The reversal of 100133440221 is 122044331001.

It is an interprime number because it is at equal distance from previous prime (100133440219) and next prime (100133440223).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100133440221 - 2¹ = 100133440219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133440223) 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 7 ways as a sum of consecutive naturals, for example, 575479455 + ... + 575479628.

It is an arithmetic number, because the mean of its divisors is an integer number (17264386260).

Almost surely, 2^100133440221 is an apocalyptic number.

It is an amenable number.

100133440221 is a deficient number, since it is larger than the sum of its proper divisors (37981649859).

100133440221 is a wasteful number, since it uses less digits than its factorization.

100133440221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150959115.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100133440221 its reverse (122044331001), we get a palindrome (222177771222).

The spelling of 100133440221 in words is "one hundred billion, one hundred thirty-three million, four hundred forty thousand, two hundred twenty-one".