101001001001101 has 16 divisors (see below), whose sum is σ = 104928658148160. Its totient is φ = 97103088794880.

The previous prime is 101001001001083. The next prime is 101001001001129. The reversal of 101001001001101 is 101100100100101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101001001001101 - 2¹³ = 101001000992909 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 (101001001401101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64383406 + ... + 65933488.

It is an arithmetic number, because the mean of its divisors is an integer number (6558041134260).

Almost surely, 2^{101001001001101} is an apocalyptic number.

It is an amenable number.

101001001001101 is a deficient number, since it is larger than the sum of its proper divisors (3927657147059).

101001001001101 is a wasteful number, since it uses less digits than its factorization.

101001001001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559676.

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

Adding to 101001001001101 its reverse (101100100100101), we get a palindrome (202101101101202).

The spelling of 101001001001101 in words is "one hundred one trillion, one billion, one million, one thousand, one hundred one".