1001112111001 has 16 divisors (see below), whose sum is σ = 1029857971968. Its totient is φ = 972576201600.

The previous prime is 1001112110987. The next prime is 1001112111049.

1001112111001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1001112111001 - 2²³ = 1001103722393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001112111401) 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, 21899170 + ... + 21944836.

It is an arithmetic number, because the mean of its divisors is an integer number (64366123248).

Almost surely, 2^{1001112111001} is an apocalyptic number.

It is an amenable number.

1001112111001 is a deficient number, since it is larger than the sum of its proper divisors (28745860967).

1001112111001 is a wasteful number, since it uses less digits than its factorization.

1001112111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47952.

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

The spelling of 1001112111001 in words is "one trillion, one billion, one hundred twelve million, one hundred eleven thousand, one".