122221220121101 has 2 divisors, whose sum is σ = 122221220121102. Its totient is φ = 122221220121100.

The previous prime is 122221220121097. The next prime is 122221220121109. The reversal of 122221220121101 is 101121022122221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116531917050025 + 5689303071076 = 10794995^2 + 2385226^2 .

It is a cyclic number.

It is not a de Polignac number, because 122221220121101 - 2² = 122221220121097 is a prime.

It is a super-2 number, since 2×122221220121101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122221220121109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110610060550 + 61110610060551.

It is an arithmetic number, because the mean of its divisors is an integer number (61110610060551).

Almost surely, 2^{122221220121101} is an apocalyptic number.

It is an amenable number.

122221220121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221220121101 is an equidigital number, since it uses as much as digits as its factorization.

122221220121101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122221220121101 its reverse (101121022122221), we get a palindrome (223342242243322).

The spelling of 122221220121101 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twenty-one thousand, one hundred one".