1121112011001 has 16 divisors (see below), whose sum is σ = 1586050675200. Its totient is φ = 701974249728.

The previous prime is 1121112010981. The next prime is 1121112011003. The reversal of 1121112011001 is 1001102111211.

It is not a de Polignac number, because 1121112011001 - 2¹⁰ = 1121112009977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121112011003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22921906 + ... + 22970763.

It is an arithmetic number, because the mean of its divisors is an integer number (99128167200).

Almost surely, 2^{1121112011001} is an apocalyptic number.

It is an amenable number.

1121112011001 is a deficient number, since it is larger than the sum of its proper divisors (464938664199).

1121112011001 is a wasteful number, since it uses less digits than its factorization.

1121112011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45893168.

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

Adding to 1121112011001 its reverse (1001102111211), we get a palindrome (2122214122212).

The spelling of 1121112011001 in words is "one trillion, one hundred twenty-one billion, one hundred twelve million, eleven thousand, one".