101101111101001 has 64 divisors (see below), whose sum is σ = 119405512396800. Its totient is φ = 84608556480000.

The previous prime is 101101111100947. The next prime is 101101111101037. The reversal of 101101111101001 is 100101111101101.

It is a happy number.

It is not a de Polignac number, because 101101111101001 - 2⁹ = 101101111100489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101111101071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11121006466 + ... + 11121015556.

It is an arithmetic number, because the mean of its divisors is an integer number (1865711131200).

Almost surely, 2^{101101111101001} is an apocalyptic number.

101101111101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101111101001 is a deficient number, since it is larger than the sum of its proper divisors (18304401295799).

101101111101001 is a wasteful number, since it uses less digits than its factorization.

101101111101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14222.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101101111101001 its reverse (100101111101101), we get a palindrome (201202222202102).

It can be divided in two parts, 10110 and 1111101001, that added together give a palindrome (1111111111).

The spelling of 101101111101001 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one".