10000011011111 has 32 divisors (see below), whose sum is σ = 11249564198976. Its totient is φ = 8812800000000.

The previous prime is 10000011011033. The next prime is 10000011011147. The reversal of 10000011011111 is 11111011000001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000011011111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000011011311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10661111 + ... + 11561111.

It is an arithmetic number, because the mean of its divisors is an integer number (351548881218).

Almost surely, 2^{10000011011111} is an apocalyptic number.

10000011011111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000011011111 is a deficient number, since it is larger than the sum of its proper divisors (1249553187865).

10000011011111 is a wasteful number, since it uses less digits than its factorization.

10000011011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900323.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10000011011111 its reverse (11111011000001), we get a palindrome (21111022011112).

It can be divided in two parts, 100000 and 11011111, that added together give a palindrome (11111111).

The spelling of 10000011011111 in words is "ten trillion, eleven million, eleven thousand, one hundred eleven".