1001011102011 has 12 divisors (see below), whose sum is σ = 1446243520800. Its totient is φ = 667184459760.

The previous prime is 1001011101973. The next prime is 1001011102019. The reversal of 1001011102011 is 1102011101001.

It is not a de Polignac number, because 1001011102011 - 2³⁹ = 451255288123 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001011101984 and 1001011102002.

It is not an unprimeable number, because it can be changed into a prime (1001011102019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12982336 + ... + 13059213.

It is an arithmetic number, because the mean of its divisors is an integer number (120520293400).

Almost surely, 2^{1001011102011} is an apocalyptic number.

1001011102011 is a deficient number, since it is larger than the sum of its proper divisors (445232418789).

1001011102011 is a wasteful number, since it uses less digits than its factorization.

1001011102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26045826 (or 26045823 counting only the distinct ones).

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

Adding to 1001011102011 its reverse (1102011101001), we get a palindrome (2103022203012).

The spelling of 1001011102011 in words is "one trillion, one billion, eleven million, one hundred two thousand, eleven".