1102000002011 has 16 divisors (see below), whose sum is σ = 1118916771840. Its totient is φ = 1085209900800.

The previous prime is 1102000001987. The next prime is 1102000002017.

1102000002011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1102000002011 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1102000002011.

It is not an unprimeable number, because it can be changed into a prime (1102000002017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16088486 + ... + 16156836.

It is an arithmetic number, because the mean of its divisors is an integer number (69932298240).

Almost surely, 2^{1102000002011} is an apocalyptic number.

1102000002011 is a deficient number, since it is larger than the sum of its proper divisors (16916769829).

1102000002011 is an equidigital number, since it uses as much as digits as its factorization.

1102000002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69274.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 110200000 and 2011, that added together give a palindrome (110202011).

The spelling of 1102000002011 in words is "one trillion, one hundred two billion, two thousand, eleven".