100220111121017 has 2 divisors, whose sum is σ = 100220111121018. Its totient is φ = 100220111121016.

The previous prime is 100220111120971. The next prime is 100220111121029. The reversal of 100220111121017 is 710121111022001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98626568450281 + 1593542670736 = 9931091^2 + 1262356^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220111121017 - 2³⁰ = 100219037379193 is a prime.

It is a super-2 number, since 2×100220111121017² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100220111121017.

It is not a weakly prime, because it can be changed into another prime (100220111121037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110055560508 + 50110055560509.

It is an arithmetic number, because the mean of its divisors is an integer number (50110055560509).

Almost surely, 2^{100220111121017} is an apocalyptic number.

It is an amenable number.

100220111121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220111121017 is an equidigital number, since it uses as much as digits as its factorization.

100220111121017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 100220111121017 its reverse (710121111022001), we get a palindrome (810341222143018).

The spelling of 100220111121017 in words is "one hundred trillion, two hundred twenty billion, one hundred eleven million, one hundred twenty-one thousand, seventeen".