10010101101011 has 16 divisors (see below), whose sum is σ = 11496092106240. Its totient is φ = 8620210329120.

The previous prime is 10010101100939. The next prime is 10010101101029. The reversal of 10010101101011 is 11010110101001.

It is not a de Polignac number, because 10010101101011 - 2²² = 10010096906707 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 10010101101011.

It is not an unprimeable number, because it can be changed into a prime (10010101104011) 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 15 ways as a sum of consecutive naturals, for example, 634715 + ... + 4519188.

It is an arithmetic number, because the mean of its divisors is an integer number (718505756640).

Almost surely, 2^{10010101101011} is an apocalyptic number.

10010101101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010101101011 is a deficient number, since it is larger than the sum of its proper divisors (1485991005229).

10010101101011 is a wasteful number, since it uses less digits than its factorization.

10010101101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163226.

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

Adding to 10010101101011 its reverse (11010110101001), we get a palindrome (21020211202012).

The spelling of 10010101101011 in words is "ten trillion, ten billion, one hundred one million, one hundred one thousand, eleven".