1001112112101 has 8 divisors (see below), whose sum is σ = 1334820968800. Its totient is φ = 667405665072.

The previous prime is 1001112112093. The next prime is 1001112112111. The reversal of 1001112112101 is 1012112111001.

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

It is not a de Polignac number, because 1001112112101 - 2³ = 1001112112093 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 (1001112112111) 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, 907950 + ... + 1681248.

It is an arithmetic number, because the mean of its divisors is an integer number (166852621100).

Almost surely, 2^{1001112112101} is an apocalyptic number.

It is an amenable number.

1001112112101 is a deficient number, since it is larger than the sum of its proper divisors (333708856699).

1001112112101 is an equidigital number, since it uses as much as digits as its factorization.

1001112112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204835.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1001112112101 its reverse (1012112111001), we get a palindrome (2013224223102).

The spelling of 1001112112101 in words is "one trillion, one billion, one hundred twelve million, one hundred twelve thousand, one hundred one".