101010010222321 has 2 divisors, whose sum is σ = 101010010222322. Its totient is φ = 101010010222320.

The previous prime is 101010010222109. The next prime is 101010010222409. The reversal of 101010010222321 is 123222010010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99678478855921 + 1331531366400 = 9983911^2 + 1153920^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010010222321 - 2²⁵ = 101009976667889 is a prime.

It is a super-2 number, since 2×101010010222321² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101010010222295 and 101010010222304.

It is not a weakly prime, because it can be changed into another prime (101010010822321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005111160 + 50505005111161.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005111161).

Almost surely, 2^{101010010222321} is an apocalyptic number.

It is an amenable number.

101010010222321 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010010222321 is an equidigital number, since it uses as much as digits as its factorization.

101010010222321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101010010222321 its reverse (123222010010101), we get a palindrome (224232020232422).

The spelling of 101010010222321 in words is "one hundred one trillion, ten billion, ten million, two hundred twenty-two thousand, three hundred twenty-one".