101021122211221 has 2 divisors, whose sum is σ = 101021122211222. Its totient is φ = 101021122211220.

The previous prime is 101021122211197. The next prime is 101021122211249. The reversal of 101021122211221 is 122112221120101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51053740136100 + 49967382075121 = 7145190^2 + 7068761^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021122211221 - 2²⁹ = 101020585340309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101021122211621) 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, 50510561105610 + 50510561105611.

It is an arithmetic number, because the mean of its divisors is an integer number (50510561105611).

Almost surely, 2^{101021122211221} is an apocalyptic number.

It is an amenable number.

101021122211221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021122211221 is an equidigital number, since it uses as much as digits as its factorization.

101021122211221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101021122211221 its reverse (122112221120101), we get a palindrome (223133343331322).

The spelling of 101021122211221 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty-one".