101000100111011 has 4 divisors (see below), whose sum is σ = 101002166319912. Its totient is φ = 100998033902112.

The previous prime is 101000100110993. The next prime is 101000100111047. The reversal of 101000100111011 is 110111001000101.

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 101000100111011 - 2¹⁴ = 101000100094627 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 101000100111011.

It is not an unprimeable number, because it can be changed into a prime (101000100111811) 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, 1033031126 + ... + 1033128891.

It is an arithmetic number, because the mean of its divisors is an integer number (25250541579978).

Almost surely, 2^{101000100111011} is an apocalyptic number.

101000100111011 is a deficient number, since it is larger than the sum of its proper divisors (2066208901).

101000100111011 is an equidigital number, since it uses as much as digits as its factorization.

101000100111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066208900.

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

Adding to 101000100111011 its reverse (110111001000101), we get a palindrome (211111101111112).

The spelling of 101000100111011 in words is "one hundred one trillion, one hundred million, one hundred eleven thousand, eleven".