10010011101101 has 32 divisors (see below), whose sum is σ = 11216878323840. Its totient is φ = 8855846092800.

The previous prime is 10010011101073. The next prime is 10010011101221. The reversal of 10010011101101 is 10110111001001.

It is not a de Polignac number, because 10010011101101 - 2¹⁸ = 10010010838957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010011001101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230321165 + ... + 230364621.

It is an arithmetic number, because the mean of its divisors is an integer number (350527447620).

Almost surely, 2^{10010011101101} is an apocalyptic number.

10010011101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010011101101 is a deficient number, since it is larger than the sum of its proper divisors (1206867222739).

10010011101101 is a wasteful number, since it uses less digits than its factorization.

10010011101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47165.

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

Adding to 10010011101101 its reverse (10110111001001), we get a palindrome (20120122102102).

The spelling of 10010011101101 in words is "ten trillion, ten billion, eleven million, one hundred one thousand, one hundred one".