101000010101101 has 8 divisors (see below), whose sum is σ = 104329533574400. Its totient is φ = 97674952792320.

The previous prime is 101000010101059. The next prime is 101000010101117. The reversal of 101000010101101 is 101101010000101.

It is a happy number.

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 101000010101101 - 2³⁹ = 100450254287213 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 (101000010105101) 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, 1116495156 + ... + 1116585613.

It is an arithmetic number, because the mean of its divisors is an integer number (13041191696800).

Almost surely, 2^{101000010101101} is an apocalyptic number.

It is an amenable number.

101000010101101 is a deficient number, since it is larger than the sum of its proper divisors (3329523473299).

101000010101101 is a wasteful number, since it uses less digits than its factorization.

101000010101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233082259.

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

Adding to 101000010101101 its reverse (101101010000101), we get a palindrome (202101020101202).

The spelling of 101000010101101 in words is "one hundred one trillion, ten million, one hundred one thousand, one hundred one".