100100211210017 has 2 divisors, whose sum is σ = 100100211210018. Its totient is φ = 100100211210016.

The previous prime is 100100211209983. The next prime is 100100211210053. The reversal of 100100211210017 is 710012112001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95375517749521 + 4724693460496 = 9766039^2 + 2173636^2 .

It is an emirp because it is prime and its reverse (710012112001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100211210017 - 2²⁸ = 100099942774561 is a prime.

It is a super-2 number, since 2×100100211210017² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100100211209977 and 100100211210004.

It is not a weakly prime, because it can be changed into another prime (100100211290017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050105605008 + 50050105605009.

It is an arithmetic number, because the mean of its divisors is an integer number (50050105605009).

Almost surely, 2^{100100211210017} is an apocalyptic number.

It is an amenable number.

100100211210017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100211210017 is an equidigital number, since it uses as much as digits as its factorization.

100100211210017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 100100211210017 its reverse (710012112001001), we get a palindrome (810112323211018).

The spelling of 100100211210017 in words is "one hundred trillion, one hundred billion, two hundred eleven million, two hundred ten thousand, seventeen".