1001112223121 has 8 divisors (see below), whose sum is σ = 1001891872800. Its totient is φ = 1000332716320.

The previous prime is 1001112223091. The next prime is 1001112223127. The reversal of 1001112223121 is 1213222111001.

It is a happy number.

1001112223121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001112223121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001112223121.

It is not an unprimeable number, because it can be changed into a prime (1001112223127) 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, 17119310 + ... + 17177688.

It is an arithmetic number, because the mean of its divisors is an integer number (125236484100).

Almost surely, 2^{1001112223121} is an apocalyptic number.

It is an amenable number.

1001112223121 is a deficient number, since it is larger than the sum of its proper divisors (779649679).

1001112223121 is a wasteful number, since it uses less digits than its factorization.

1001112223121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71439.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1001112223121 its reverse (1213222111001), we get a palindrome (2214334334122).

It can be divided in two parts, 100111 and 2223121, that added together give a palindrome (2323232).

The spelling of 1001112223121 in words is "one trillion, one billion, one hundred twelve million, two hundred twenty-three thousand, one hundred twenty-one".