101111111111001 has 32 divisors (see below), whose sum is σ = 138487262426496. Its totient is φ = 65596398912000.

The previous prime is 101111111110957. The next prime is 101111111111011. The reversal of 101111111111001 is 100111111111101.

It is not a de Polignac number, because 101111111111001 - 2⁶ = 101111111110937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111111111011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11508411 + ... + 18293871.

It is an arithmetic number, because the mean of its divisors is an integer number (4327726950828).

Almost surely, 2^{101111111111001} is an apocalyptic number.

It is an amenable number.

101111111111001 is a deficient number, since it is larger than the sum of its proper divisors (37376151315495).

101111111111001 is a wasteful number, since it uses less digits than its factorization.

101111111111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786393.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 101111111111001 its reverse (100111111111101), we get a palindrome (201222222222102).

It can be divided in two parts, 10111111111100 and 1, that added together give a palindrome (10111111111101).

The spelling of 101111111111001 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one".