10101101010101 has 4 divisors (see below), whose sum is σ = 10540279314912. Its totient is φ = 9661922705292.

The previous prime is 10101101010071. The next prime is 10101101010109. The reversal of 10101101010101 is 10101010110101.

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 10101101010101 - 2³⁸ = 9826223103157 is a prime.

It is a Duffinian number.

10101101010101 is a modest number, since divided by 1010101 gives 101011 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101101010109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219589152371 + ... + 219589152416.

It is an arithmetic number, because the mean of its divisors is an integer number (2635069828728).

Almost surely, 2^{10101101010101} is an apocalyptic number.

It is an amenable number.

10101101010101 is a deficient number, since it is larger than the sum of its proper divisors (439178304811).

10101101010101 is an equidigital number, since it uses as much as digits as its factorization.

10101101010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439178304810.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10101101010101 its reverse (10101010110101), we get a palindrome (20202111120202).

It can be divided in two parts, 10101 and 101010101, that multiplied together give a palindrome (1020303030201).

The spelling of 10101101010101 in words is "ten trillion, one hundred one billion, one hundred one million, ten thousand, one hundred one".