122111022101 has 2 divisors, whose sum is σ = 122111022102. Its totient is φ = 122111022100.

The previous prime is 122111022031. The next prime is 122111022107. The reversal of 122111022101 is 101220111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114921678001 + 7189344100 = 339001^2 + 84790^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111022101 - 2¹⁰ = 122111021077 is a prime.

It is a super-2 number, since 2×122111022101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111022107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055511050 + 61055511051.

It is an arithmetic number, because the mean of its divisors is an integer number (61055511051).

Almost surely, 2^122111022101 is an apocalyptic number.

It is an amenable number.

122111022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111022101 is an equidigital number, since it uses as much as digits as its factorization.

122111022101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122111022101 its reverse (101220111221), we get a palindrome (223331133322).

The spelling of 122111022101 in words is "one hundred twenty-two billion, one hundred eleven million, twenty-two thousand, one hundred one".