1001120111101 has 8 divisors (see below), whose sum is σ = 1092251272608. Its totient is φ = 910008990000.

The previous prime is 1001120111081. The next prime is 1001120111111. The reversal of 1001120111101 is 1011110211001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001120111101 - 2⁹ = 1001120110589 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 (1001120111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4905550 + ... + 5105551.

It is an arithmetic number, because the mean of its divisors is an integer number (136531409076).

Almost surely, 2^{1001120111101} is an apocalyptic number.

1001120111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001120111101 is a deficient number, since it is larger than the sum of its proper divisors (91131161507).

1001120111101 is a wasteful number, since it uses less digits than its factorization.

1001120111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020203.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1001120111101 its reverse (1011110211001), we get a palindrome (2012230322102).

The spelling of 1001120111101 in words is "one trillion, one billion, one hundred twenty million, one hundred eleven thousand, one hundred one".