100100100953 has 2 divisors, whose sum is σ = 100100100954. Its totient is φ = 100100100952.

The previous prime is 100100100941. The next prime is 100100101019. The reversal of 100100100953 is 359001001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98931008089 + 1169092864 = 314533^2 + 34192^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100100953 - 2⁴ = 100100100937 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100000953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050476 + 50050050477.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050477).

Almost surely, 2^100100100953 is an apocalyptic number.

It is an amenable number.

100100100953 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100953 is an equidigital number, since it uses as much as digits as its factorization.

100100100953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 20.

Adding to 100100100953 its reverse (359001001001), we get a palindrome (459101101954).

The spelling of 100100100953 in words is "one hundred billion, one hundred million, one hundred thousand, nine hundred fifty-three".