122101217101 has 2 divisors, whose sum is σ = 122101217102. Its totient is φ = 122101217100.

The previous prime is 122101217059. The next prime is 122101217107. The reversal of 122101217101 is 101712101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119283199876 + 2818017225 = 345374^2 + 53085^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101217101 - 2¹³ = 122101208909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101217107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050608550 + 61050608551.

It is an arithmetic number, because the mean of its divisors is an integer number (61050608551).

Almost surely, 2^122101217101 is an apocalyptic number.

It is an amenable number.

122101217101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101217101 is an equidigital number, since it uses as much as digits as its factorization.

122101217101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 122101217101 its reverse (101712101221), we get a palindrome (223813318322).

The spelling of 122101217101 in words is "one hundred twenty-two billion, one hundred one million, two hundred seventeen thousand, one hundred one".