112101011001 has 48 divisors (see below), whose sum is σ = 185735571840. Its totient is φ = 63822781440.

The previous prime is 112101010979. The next prime is 112101011039. The reversal of 112101011001 is 100110101211.

It is a de Polignac number, because none of the positive numbers 2^k-112101011001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112101011401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24837321 + ... + 24841833.

It is an arithmetic number, because the mean of its divisors is an integer number (3869491080).

Almost surely, 2^112101011001 is an apocalyptic number.

It is an amenable number.

112101011001 is a deficient number, since it is larger than the sum of its proper divisors (73634560839).

112101011001 is a wasteful number, since it uses less digits than its factorization.

112101011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 112101011001 its reverse (100110101211), we get a palindrome (212211112212).

The spelling of 112101011001 in words is "one hundred twelve billion, one hundred one million, eleven thousand, one".