10101000011011 has 16 divisors (see below), whose sum is σ = 12432126942144. Its totient is φ = 7991918411904.

The previous prime is 10101000010987. The next prime is 10101000011017. The reversal of 10101000011011 is 11011000010101.

It is a happy number.

It is not a de Polignac number, because 10101000011011 - 2¹¹ = 10101000008963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10101000010985 and 10101000011003.

It is not an unprimeable number, because it can be changed into a prime (10101000011017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9342165 + ... + 10367161.

It is an arithmetic number, because the mean of its divisors is an integer number (777007933884).

Almost surely, 2^{10101000011011} is an apocalyptic number.

10101000011011 is a deficient number, since it is larger than the sum of its proper divisors (2331126931133).

10101000011011 is a wasteful number, since it uses less digits than its factorization.

10101000011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133310.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10101000011011 its reverse (11011000010101), we get a palindrome (21112000021112).

The spelling of 10101000011011 in words is "ten trillion, one hundred one billion, eleven thousand, eleven".