101101001101001 has 8 divisors (see below), whose sum is σ = 111384001214208. Its totient is φ = 91000000990000.

The previous prime is 101101001100959. The next prime is 101101001101003. The reversal of 101101001101001 is 100101100101101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101001101001 is a prime.

It is a super-3 number, since 3×101101001101001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101101001101001.

It is not an unprimeable number, because it can be changed into a prime (101101001101003) 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, 45499999385 + ... + 45500001606.

It is an arithmetic number, because the mean of its divisors is an integer number (13923000151776).

Almost surely, 2^{101101001101001} is an apocalyptic number.

101101001101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101001101001 is a deficient number, since it is larger than the sum of its proper divisors (10283000113207).

101101001101001 is a wasteful number, since it uses less digits than its factorization.

101101001101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91000001103.

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

Adding to 101101001101001 its reverse (100101100101101), we get a palindrome (201202101202102).

The spelling of 101101001101001 in words is "one hundred one trillion, one hundred one billion, one million, one hundred one thousand, one".