101001101011101 has 12 divisors (see below), whose sum is σ = 146219803124928. Its totient is φ = 67182071700744.

The previous prime is 101001101011093. The next prime is 101001101011147. The reversal of 101001101011101 is 101110101100101.

It is not a de Polignac number, because 101001101011101 - 2³ = 101001101011093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001101010101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12666299125 + ... + 12666307098.

It is an arithmetic number, because the mean of its divisors is an integer number (12184983593744).

Almost surely, 2^{101001101011101} is an apocalyptic number.

It is an amenable number.

101001101011101 is a deficient number, since it is larger than the sum of its proper divisors (45218702113827).

101001101011101 is a wasteful number, since it uses less digits than its factorization.

101001101011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25332606672 (or 25332606669 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101001101011101 its reverse (101110101100101), we get a palindrome (202111202111202).

The spelling of 101001101011101 in words is "one hundred one trillion, one billion, one hundred one million, eleven thousand, one hundred one".