10100110001011 has 4 divisors (see below), whose sum is σ = 10100940546024. Its totient is φ = 10099279456000.

The previous prime is 10100110000973. The next prime is 10100110001029. The reversal of 10100110001011 is 11010001100101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10100110001011 - 2¹¹ = 10100109998963 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100110000985 and 10100110001003.

It is not an unprimeable number, because it can be changed into a prime (10100110001911) 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 3 ways as a sum of consecutive naturals, for example, 415254265 + ... + 415278586.

It is an arithmetic number, because the mean of its divisors is an integer number (2525235136506).

Almost surely, 2^{10100110001011} is an apocalyptic number.

10100110001011 is a deficient number, since it is larger than the sum of its proper divisors (830545013).

10100110001011 is an equidigital number, since it uses as much as digits as its factorization.

10100110001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830545012.

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

Adding to 10100110001011 its reverse (11010001100101), we get a palindrome (21110111101112).

The spelling of 10100110001011 in words is "ten trillion, one hundred billion, one hundred ten million, one thousand, eleven".