101001010101101 has 128 divisors (see below), whose sum is σ = 116044046641152. Its totient is φ = 87130391040000.

The previous prime is 101001010101067. The next prime is 101001010101107. The reversal of 101001010101101 is 101101010100101.

It is a de Polignac number, because none of the positive numbers 2^k-101001010101101 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 (101001010101107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157077775886 + ... + 157077776528.

It is an arithmetic number, because the mean of its divisors is an integer number (906594114384).

Almost surely, 2^{101001010101101} is an apocalyptic number.

101001010101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101001010101101 is a deficient number, since it is larger than the sum of its proper divisors (15043036540051).

101001010101101 is a wasteful number, since it uses less digits than its factorization.

101001010101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243.

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

Adding to 101001010101101 its reverse (101101010100101), we get a palindrome (202102020201202).

It can be divided in two parts, 1010010 and 10101101, that added together give a palindrome (11111111).

The spelling of 101001010101101 in words is "one hundred one trillion, one billion, ten million, one hundred one thousand, one hundred one".