1011000001011 has 128 divisors (see below), whose sum is σ = 1910849740800. Its totient is φ = 457908111360.

The previous prime is 1011000000979. The next prime is 1011000001013. The reversal of 1011000001011 is 1101000001101.

It is not a de Polignac number, because 1011000001011 - 2⁵ = 1011000000979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011000001013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19201920 + ... + 19254498.

It is an arithmetic number, because the mean of its divisors is an integer number (14928513600).

Almost surely, 2^{1011000001011} is an apocalyptic number.

1011000001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011000001011 is a deficient number, since it is larger than the sum of its proper divisors (899849739789).

1011000001011 is a wasteful number, since it uses less digits than its factorization.

1011000001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52969.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1011000001011 its reverse (1101000001101), we get a palindrome (2112000002112).

The spelling of 1011000001011 in words is "one trillion, eleven billion, one thousand, eleven".