122213003001101 has 2 divisors, whose sum is σ = 122213003001102. Its totient is φ = 122213003001100.

The previous prime is 122213003001083. The next prime is 122213003001121. The reversal of 122213003001101 is 101100300312221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118069738680100 + 4143264321001 = 10865990^2 + 2035501^2 .

It is a cyclic number.

It is not a de Polignac number, because 122213003001101 - 2²² = 122212998806797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122213003001101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122213003001121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106501500550 + 61106501500551.

It is an arithmetic number, because the mean of its divisors is an integer number (61106501500551).

Almost surely, 2^{122213003001101} is an apocalyptic number.

It is an amenable number.

122213003001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122213003001101 is an equidigital number, since it uses as much as digits as its factorization.

122213003001101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 122213003001101 its reverse (101100300312221), we get a palindrome (223313303313322).

The spelling of 122213003001101 in words is "one hundred twenty-two trillion, two hundred thirteen billion, three million, one thousand, one hundred one".