100110103201 has 2 divisors, whose sum is σ = 100110103202. Its totient is φ = 100110103200.

The previous prime is 100110103193. The next prime is 100110103207. The reversal of 100110103201 is 102301011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56522685025 + 43587418176 = 237745^2 + 208776^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110103201 - 2³ = 100110103193 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110103207) 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 as a sum of consecutive naturals, namely, 50055051600 + 50055051601.

It is an arithmetic number, because the mean of its divisors is an integer number (50055051601).

Almost surely, 2^100110103201 is an apocalyptic number.

It is an amenable number.

100110103201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110103201 is an equidigital number, since it uses as much as digits as its factorization.

100110103201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100110103201 its reverse (102301011001), we get a palindrome (202411114202).

The spelling of 100110103201 in words is "one hundred billion, one hundred ten million, one hundred three thousand, two hundred one".