10112211101 has 2 divisors, whose sum is σ = 10112211102. Its totient is φ = 10112211100.

The previous prime is 10112211089. The next prime is 10112211113. The reversal of 10112211101 is 10111221101.

10112211101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10112211089) and next prime (10112211113).

It can be written as a sum of positive squares in only one way, i.e., 9708160900 + 404050201 = 98530^2 + 20101^2 .

It is an emirp because it is prime and its reverse (10111221101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10112211101 - 2²² = 10108016797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112211181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056105550 + 5056105551.

It is an arithmetic number, because the mean of its divisors is an integer number (5056105551).

Almost surely, 2^10112211101 is an apocalyptic number.

It is an amenable number.

10112211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112211101 is an equidigital number, since it uses as much as digits as its factorization.

10112211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10112211101 its reverse (10111221101), we get a palindrome (20223432202).

The spelling of 10112211101 in words is "ten billion, one hundred twelve million, two hundred eleven thousand, one hundred one".