101222021101 has 2 divisors, whose sum is σ = 101222021102. Its totient is φ = 101222021100.

The previous prime is 101222021083. The next prime is 101222021111. The reversal of 101222021101 is 101120222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99206100900 + 2015920201 = 314970^2 + 44899^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222021101 - 2¹⁵ = 101221988333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222021111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611010550 + 50611010551.

It is an arithmetic number, because the mean of its divisors is an integer number (50611010551).

Almost surely, 2^101222021101 is an apocalyptic number.

It is an amenable number.

101222021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222021101 is an equidigital number, since it uses as much as digits as its factorization.

101222021101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101222021101 its reverse (101120222101), we get a palindrome (202342243202).

The spelling of 101222021101 in words is "one hundred one billion, two hundred twenty-two million, twenty-one thousand, one hundred one".