100217006721 has 24 divisors (see below), whose sum is σ = 156317965440. Its totient is φ = 61503934176.

The previous prime is 100217006711. The next prime is 100217006723. The reversal of 100217006721 is 127600712001.

It is not a de Polignac number, because 100217006721 - 2¹⁰ = 100217005697 is a prime.

It is a super-2 number, since 2×100217006721² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100217006723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1124031 + ... + 1209908.

It is an arithmetic number, because the mean of its divisors is an integer number (6513248560).

Almost surely, 2^100217006721 is an apocalyptic number.

It is an amenable number.

100217006721 is a deficient number, since it is larger than the sum of its proper divisors (56100958719).

100217006721 is a wasteful number, since it uses less digits than its factorization.

100217006721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334325 (or 2334322 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 100217006721 its reverse (127600712001), we get a palindrome (227817718722).

The spelling of 100217006721 in words is "one hundred billion, two hundred seventeen million, six thousand, seven hundred twenty-one".