10111211101 has 4 divisors (see below), whose sum is σ = 10211322204. Its totient is φ = 10011100000.

The previous prime is 10111211083. The next prime is 10111211161.

10111211101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6735484900 + 3375726201 = 82070^2 + 58101^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111211101 - 2⁷ = 10111210973 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 (10111211161) 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 3 ways as a sum of consecutive naturals, for example, 50055400 + ... + 50055601.

It is an arithmetic number, because the mean of its divisors is an integer number (2552830551).

Almost surely, 2^10111211101 is an apocalyptic number.

It is an amenable number.

10111211101 is a deficient number, since it is larger than the sum of its proper divisors (100111103).

10111211101 is a wasteful number, since it uses less digits than its factorization.

10111211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100111102.

The product of its (nonzero) digits is 2, while the sum is 10.

The spelling of 10111211101 in words is "ten billion, one hundred eleven million, two hundred eleven thousand, one hundred one".