100110220102001 has 2 divisors, whose sum is σ = 100110220102002. Its totient is φ = 100110220102000.

The previous prime is 100110220101961. The next prime is 100110220102007. The reversal of 100110220102001 is 100201022011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94857762855025 + 5252457246976 = 9739495^2 + 2291824^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110220102001 - 2²² = 100110215907697 is a prime.

It is a super-2 number, since 2×100110220102001² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100110220102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055110051000 + 50055110051001.

It is an arithmetic number, because the mean of its divisors is an integer number (50055110051001).

Almost surely, 2^{100110220102001} is an apocalyptic number.

It is an amenable number.

100110220102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110220102001 is an equidigital number, since it uses as much as digits as its factorization.

100110220102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100110220102001 its reverse (100201022011001), we get a palindrome (200311242113002).

The spelling of 100110220102001 in words is "one hundred trillion, one hundred ten billion, two hundred twenty million, one hundred two thousand, one".