122221221101101 has 2 divisors, whose sum is σ = 122221221101102. Its totient is φ = 122221221101100.

The previous prime is 122221221101099. The next prime is 122221221101117. The reversal of 122221221101101 is 101101122122221.

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., 116825942046025 + 5395279055076 = 10808605^2 + 2322774^2 .

It is a cyclic number.

It is not a de Polignac number, because 122221221101101 - 2¹ = 122221221101099 is a prime.

Together with 122221221101099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122221221101131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110610550550 + 61110610550551.

It is an arithmetic number, because the mean of its divisors is an integer number (61110610550551).

Almost surely, 2^{122221221101101} is an apocalyptic number.

It is an amenable number.

122221221101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221221101101 is an equidigital number, since it uses as much as digits as its factorization.

122221221101101 is an evil number, because the sum of its binary digits is even.

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

Adding to 122221221101101 its reverse (101101122122221), we get a palindrome (223322343223322).

The spelling of 122221221101101 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, one hundred one".