101101101101001 has 8 divisors (see below), whose sum is σ = 149779409038560. Its totient is φ = 67400734067316.

The previous prime is 101101101100999. The next prime is 101101101101023. The reversal of 101101101101001 is 100101101101101.

It is not a de Polignac number, because 101101101101001 - 2¹ = 101101101100999 is a prime.

It is a super-2 number, since 2×101101101101001² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101101101105001) 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, 1872242612955 + ... + 1872242613008.

It is an arithmetic number, because the mean of its divisors is an integer number (18722426129820).

Almost surely, 2^{101101101101001} is an apocalyptic number.

It is an amenable number.

101101101101001 is a deficient number, since it is larger than the sum of its proper divisors (48678307937559).

101101101101001 is an equidigital number, since it uses as much as digits as its factorization.

101101101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744485225972 (or 3744485225966 counting only the distinct ones).

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

Adding to 101101101101001 its reverse (100101101101101), we get a palindrome (201202202202102).

The spelling of 101101101101001 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred one thousand, one".