10223211101 has 2 divisors, whose sum is σ = 10223211102. Its totient is φ = 10223211100.

The previous prime is 10223211077. The next prime is 10223211121. The reversal of 10223211101 is 10111232201.

10223211101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10065105625 + 158105476 = 100325^2 + 12574^2 .

It is a cyclic number.

It is not a de Polignac number, because 10223211101 - 2¹⁰ = 10223210077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10223211121) 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, 5111605550 + 5111605551.

It is an arithmetic number, because the mean of its divisors is an integer number (5111605551).

Almost surely, 2^10223211101 is an apocalyptic number.

It is an amenable number.

10223211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223211101 is an equidigital number, since it uses as much as digits as its factorization.

10223211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10223211101 its reverse (10111232201), we get a palindrome (20334443302).

It can be divided in two parts, 1022 and 3211101, that added together give a palindrome (3212123).

The spelling of 10223211101 in words is "ten billion, two hundred twenty-three million, two hundred eleven thousand, one hundred one".