10110211101101 has 16 divisors (see below), whose sum is σ = 10691850892800. Its totient is φ = 9544583116800.

The previous prime is 10110211101083. The next prime is 10110211101167. The reversal of 10110211101101 is 10110111201101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10110211101101 - 2¹⁸ = 10110210838957 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 (10110211101301) 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 15 ways as a sum of consecutive naturals, for example, 14048090 + ... + 14750228.

It is an arithmetic number, because the mean of its divisors is an integer number (668240680800).

Almost surely, 2^{10110211101101} is an apocalyptic number.

It is an amenable number.

10110211101101 is a deficient number, since it is larger than the sum of its proper divisors (581639791699).

10110211101101 is a wasteful number, since it uses less digits than its factorization.

10110211101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713540.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10110211101101 its reverse (10110111201101), we get a palindrome (20220322302202).

The spelling of 10110211101101 in words is "ten trillion, one hundred ten billion, two hundred eleven million, one hundred one thousand, one hundred one".