1001056006011 has 16 divisors (see below), whose sum is σ = 1336476257280. Its totient is φ = 666503434080.

The previous prime is 1001056005997. The next prime is 1001056006033. The reversal of 1001056006011 is 1106006501001.

It is not a de Polignac number, because 1001056006011 - 2¹¹ = 1001056003963 is a prime.

It is a super-2 number, since 2×1001056006011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001056006061) 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, 21696076 + ... + 21742166.

It is an arithmetic number, because the mean of its divisors is an integer number (83529766080).

Almost surely, 2^{1001056006011} is an apocalyptic number.

1001056006011 is a deficient number, since it is larger than the sum of its proper divisors (335420251269).

1001056006011 is an equidigital number, since it uses as much as digits as its factorization.

1001056006011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55346.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 1001056006011 in words is "one trillion, one billion, fifty-six million, six thousand, eleven".