10100000010011 has 4 divisors (see below), whose sum is σ = 10100007064272. Its totient is φ = 10099992955752.

The previous prime is 10100000009993. The next prime is 10100000010013. The reversal of 10100000010011 is 11001000000101.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 10100000010011 - 2²⁶ = 10099932901147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100000009977 and 10100000010004.

It is not an unprimeable number, because it can be changed into a prime (10100000010013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 531311 + ... + 4525736.

It is an arithmetic number, because the mean of its divisors is an integer number (2525001766068).

Almost surely, 2^{10100000010011} is an apocalyptic number.

10100000010011 is a deficient number, since it is larger than the sum of its proper divisors (7054261).

10100000010011 is an equidigital number, since it uses as much as digits as its factorization.

10100000010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054260.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100000010011 its reverse (11001000000101), we get a palindrome (21101000010112).

The spelling of 10100000010011 in words is "ten trillion, one hundred billion, ten thousand, eleven".