122222221220101 has 2 divisors, whose sum is σ = 122222221220102. Its totient is φ = 122222221220100.

The previous prime is 122222221220069. The next prime is 122222221220119. The reversal of 122222221220101 is 101022122222221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72160794552001 + 50061426668100 = 8494751^2 + 7075410^2 .

It is an emirp because it is prime and its reverse (101022122222221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122222221220101 - 2⁵ = 122222221220069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122222221220401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61111110610050 + 61111110610051.

It is an arithmetic number, because the mean of its divisors is an integer number (61111110610051).

Almost surely, 2^{122222221220101} is an apocalyptic number.

It is an amenable number.

122222221220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122222221220101 is an equidigital number, since it uses as much as digits as its factorization.

122222221220101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 122222221220101 its reverse (101022122222221), we get a palindrome (223244343442322).

The spelling of 122222221220101 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred twenty thousand, one hundred one".