100910010101 has 2 divisors, whose sum is σ = 100910010102. Its totient is φ = 100910010100.

The previous prime is 100910010083. The next prime is 100910010137. The reversal of 100910010101 is 101010019001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98138092900 + 2771917201 = 313270^2 + 52649^2 .

It is an emirp because it is prime and its reverse (101010019001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100910010101 - 2¹⁸ = 100909747957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100910010601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50455005050 + 50455005051.

It is an arithmetic number, because the mean of its divisors is an integer number (50455005051).

Almost surely, 2^100910010101 is an apocalyptic number.

It is an amenable number.

100910010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100910010101 is an equidigital number, since it uses as much as digits as its factorization.

100910010101 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 100910010101 its reverse (101010019001), we get a palindrome (201920029102).

The spelling of 100910010101 in words is "one hundred billion, nine hundred ten million, ten thousand, one hundred one".