1001011112011 has 16 divisors (see below), whose sum is σ = 1083379046400. Its totient is φ = 921782203200.

The previous prime is 1001011111993. The next prime is 1001011112033. The reversal of 1001011112011 is 1102111101001.

It is not a de Polignac number, because 1001011112011 - 2¹¹ = 1001011109963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001011112111) 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, 2159731 + ... + 2581948.

It is an arithmetic number, because the mean of its divisors is an integer number (67711190400).

Almost surely, 2^{1001011112011} is an apocalyptic number.

1001011112011 is a deficient number, since it is larger than the sum of its proper divisors (82367934389).

1001011112011 is a wasteful number, since it uses less digits than its factorization.

1001011112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4742010.

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

Adding to 1001011112011 its reverse (1102111101001), we get a palindrome (2103122213012).

The spelling of 1001011112011 in words is "one trillion, one billion, eleven million, one hundred twelve thousand, eleven".