100910100101 has 2 divisors, whose sum is σ = 100910100102. Its totient is φ = 100910100100.

The previous prime is 100910100013. The next prime is 100910100127. The reversal of 100910100101 is 101001019001.

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., 71583537601 + 29326562500 = 267551^2 + 171250^2 .

It is a cyclic number.

It is not a de Polignac number, because 100910100101 - 2¹⁴ = 100910083717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100910100191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50455050050 + 50455050051.

It is an arithmetic number, because the mean of its divisors is an integer number (50455050051).

Almost surely, 2^100910100101 is an apocalyptic number.

It is an amenable number.

100910100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100910100101 is an equidigital number, since it uses as much as digits as its factorization.

100910100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 100910100101 its reverse (101001019001), we get a palindrome (201911119102).

The spelling of 100910100101 in words is "one hundred billion, nine hundred ten million, one hundred thousand, one hundred one".