101021002221221 has 2 divisors, whose sum is σ = 101021002221222. Its totient is φ = 101021002221220.

The previous prime is 101021002221203. The next prime is 101021002221289. The reversal of 101021002221221 is 122122200120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93767751390625 + 7253250830596 = 9683375^2 + 2693186^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021002221221 - 2²² = 101020998026917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101021002221221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101021002220221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510501110610 + 50510501110611.

It is an arithmetic number, because the mean of its divisors is an integer number (50510501110611).

Almost surely, 2^{101021002221221} is an apocalyptic number.

It is an amenable number.

101021002221221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021002221221 is an equidigital number, since it uses as much as digits as its factorization.

101021002221221 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 17.

Adding to 101021002221221 its reverse (122122200120101), we get a palindrome (223143202341322).

The spelling of 101021002221221 in words is "one hundred one trillion, twenty-one billion, two million, two hundred twenty-one thousand, two hundred twenty-one".