101110000101101 has 8 divisors (see below), whose sum is σ = 101126002071480. Its totient is φ = 101093998655232.

The previous prime is 101110000101083. The next prime is 101110000101113. The reversal of 101110000101101 is 101101000011101.

It can be written as a sum of positive squares in 4 ways, for example, as 69054870125476 + 32055129975625 = 8309926^2 + 5661725^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101110000101101 - 2³⁰ = 101108926359277 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 (101110000101001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583443401 + ... + 583616673.

It is an arithmetic number, because the mean of its divisors is an integer number (12640750258935).

Almost surely, 2^{101110000101101} is an apocalyptic number.

It is an amenable number.

101110000101101 is a deficient number, since it is larger than the sum of its proper divisors (16001970379).

101110000101101 is an equidigital number, since it uses as much as digits as its factorization.

101110000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262255.

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

Adding to 101110000101101 its reverse (101101000011101), we get a palindrome (202211000112202).

The spelling of 101110000101101 in words is "one hundred one trillion, one hundred ten billion, one hundred one thousand, one hundred one".