10101010100101 has 4 divisors (see below), whose sum is σ = 10101028027104. Its totient is φ = 10100992173100.

The previous prime is 10101010100081. The next prime is 10101010100141. The reversal of 10101010100101 is 10100101010101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10101010100101 - 2³⁹ = 9551254286213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101010100141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8089945 + ... + 9254686.

It is an arithmetic number, because the mean of its divisors is an integer number (2525257006776).

Almost surely, 2^{10101010100101} is an apocalyptic number.

It is an amenable number.

10101010100101 is a deficient number, since it is larger than the sum of its proper divisors (17927003).

10101010100101 is an equidigital number, since it uses as much as digits as its factorization.

10101010100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17927002.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10101010100101 its reverse (10100101010101), we get a palindrome (20201111110202).

The spelling of 10101010100101 in words is "ten trillion, one hundred one billion, ten million, one hundred thousand, one hundred one".