10213223101 has 2 divisors, whose sum is σ = 10213223102. Its totient is φ = 10213223100.

The previous prime is 10213223099. The next prime is 10213223171. The reversal of 10213223101 is 10132231201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9031651225 + 1181571876 = 95035^2 + 34374^2 .

It is a cyclic number.

It is not a de Polignac number, because 10213223101 - 2¹ = 10213223099 is a prime.

It is a super-2 number, since 2×10213223101² (a number of 21 digits) contains 22 as substring.

Together with 10213223099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10213223171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106611550 + 5106611551.

It is an arithmetic number, because the mean of its divisors is an integer number (5106611551).

Almost surely, 2^10213223101 is an apocalyptic number.

It is an amenable number.

10213223101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213223101 is an equidigital number, since it uses as much as digits as its factorization.

10213223101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10213223101 its reverse (10132231201), we get a palindrome (20345454302).

The spelling of 10213223101 in words is "ten billion, two hundred thirteen million, two hundred twenty-three thousand, one hundred one".