10101101010011 has 8 divisors (see below), whose sum is σ = 11019408910704. Its totient is φ = 9182797441120.

The previous prime is 10101101009969. The next prime is 10101101010017. The reversal of 10101101010011 is 11001010110101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10101101010011 - 2⁴² = 5703054498907 is a prime.

It is a super-2 number, since 2×10101101010011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101101010017) 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 7 ways as a sum of consecutive naturals, for example, 5569541 + ... + 7156953.

It is an arithmetic number, because the mean of its divisors is an integer number (1377426113838).

Almost surely, 2^{10101101010011} is an apocalyptic number.

10101101010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10101101010011 is a deficient number, since it is larger than the sum of its proper divisors (918307900693).

10101101010011 is a wasteful number, since it uses less digits than its factorization.

10101101010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165901.

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

Adding to 10101101010011 its reverse (11001010110101), we get a palindrome (21102111120112).

The spelling of 10101101010011 in words is "ten trillion, one hundred one billion, one hundred one million, ten thousand, eleven".