1000100101011 has 24 divisors (see below), whose sum is σ = 1512992474112. Its totient is φ = 586568967600.

The previous prime is 1000100100977. The next prime is 1000100101081. The reversal of 1000100101011 is 1101010010001.

It is not a de Polignac number, because 1000100101011 - 2¹⁰ = 1000100099987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000100101081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44425791 + ... + 44448296.

It is an arithmetic number, because the mean of its divisors is an integer number (63041353088).

Almost surely, 2^{1000100101011} is an apocalyptic number.

1000100101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000100101011 is a deficient number, since it is larger than the sum of its proper divisors (512892373101).

1000100101011 is a wasteful number, since it uses less digits than its factorization.

1000100101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88874143 (or 88874132 counting only the distinct ones).

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

Adding to 1000100101011 its reverse (1101010010001), we get a palindrome (2101110111012).

The spelling of 1000100101011 in words is "one trillion, one hundred million, one hundred one thousand, eleven".