101101001001101 has 8 divisors (see below), whose sum is σ = 103254997079424. Its totient is φ = 98947126212480.

The previous prime is 101101001001083. The next prime is 101101001001103. The reversal of 101101001001101 is 101100100101101.

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 101101001001101 - 2³⁰ = 101099927259277 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 (101101001001103) 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, 28636580 + ... + 31972733.

It is an arithmetic number, because the mean of its divisors is an integer number (12906874634928).

Almost surely, 2^{101101001001101} is an apocalyptic number.

It is an amenable number.

101101001001101 is a deficient number, since it is larger than the sum of its proper divisors (2153996078323).

101101001001101 is an equidigital number, since it uses as much as digits as its factorization.

101101001001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60644851.

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

Adding to 101101001001101 its reverse (101100100101101), we get a palindrome (202201101102202).

The spelling of 101101001001101 in words is "one hundred one trillion, one hundred one billion, one million, one thousand, one hundred one".