10100110011011 has 8 divisors (see below), whose sum is σ = 10267486620048. Its totient is φ = 9932791500000.

The previous prime is 10100110010983. The next prime is 10100110011023. The reversal of 10100110011011 is 11011001100101.

10100110011011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10100110011011 - 2⁴² = 5702063499907 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100110011011.

It is not an unprimeable number, because it can be changed into a prime (10100110011091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14173865 + ... + 14869386.

It is an arithmetic number, because the mean of its divisors is an integer number (1283435827506).

Almost surely, 2^{10100110011011} is an apocalyptic number.

10100110011011 is a deficient number, since it is larger than the sum of its proper divisors (167376609037).

10100110011011 is an equidigital number, since it uses as much as digits as its factorization.

10100110011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29049013.

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

Adding to 10100110011011 its reverse (11011001100101), we get a palindrome (21111111111112).

The spelling of 10100110011011 in words is "ten trillion, one hundred billion, one hundred ten million, eleven thousand, eleven".