10111611101 has 32 divisors (see below), whose sum is σ = 11244562560. Its totient is φ = 9052825600.

The previous prime is 10111611089. The next prime is 10111611113.

It is a happy number.

10111611101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10111611089) and next prime (10111611113).

It is a cyclic number.

It is not a de Polignac number, because 10111611101 - 2¹⁰ = 10111610077 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 (10111611901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5386175 + ... + 5388051.

It is an arithmetic number, because the mean of its divisors is an integer number (351392580).

Almost surely, 2^10111611101 is an apocalyptic number.

It is an amenable number.

10111611101 is a deficient number, since it is larger than the sum of its proper divisors (1132951459).

10111611101 is a wasteful number, since it uses less digits than its factorization.

10111611101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125.

The product of its (nonzero) digits is 6, while the sum is 14.

The spelling of 10111611101 in words is "ten billion, one hundred eleven million, six hundred eleven thousand, one hundred one".