10100000101011 has 16 divisors (see below), whose sum is σ = 13830725685504. Its totient is φ = 6551306456544.

The previous prime is 10100000101003. The next prime is 10100000101031. The reversal of 10100000101011 is 11010100000101.

It is not a de Polignac number, because 10100000101011 - 2³ = 10100000101003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100000101031) 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 15 ways as a sum of consecutive naturals, for example, 25515970 + ... + 25908776.

It is an arithmetic number, because the mean of its divisors is an integer number (864420355344).

Almost surely, 2^{10100000101011} is an apocalyptic number.

10100000101011 is a deficient number, since it is larger than the sum of its proper divisors (3730725584493).

10100000101011 is a wasteful number, since it uses less digits than its factorization.

10100000101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624490.

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

Adding to 10100000101011 its reverse (11010100000101), we get a palindrome (21110100101112).

The spelling of 10100000101011 in words is "ten trillion, one hundred billion, one hundred one thousand, eleven".