121211122022101 has 2 divisors, whose sum is σ = 121211122022102. Its totient is φ = 121211122022100.

The previous prime is 121211122022093. The next prime is 121211122022119. The reversal of 121211122022101 is 101220221112121.

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., 83724879016900 + 37486243005201 = 9150130^2 + 6122601^2 .

It is a cyclic number.

It is not a de Polignac number, because 121211122022101 - 2³ = 121211122022093 is a prime.

It is a super-2 number, since 2×121211122022101² (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 (121211122022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60605561011050 + 60605561011051.

It is an arithmetic number, because the mean of its divisors is an integer number (60605561011051).

Almost surely, 2^{121211122022101} is an apocalyptic number.

It is an amenable number.

121211122022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

121211122022101 is an equidigital number, since it uses as much as digits as its factorization.

121211122022101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 121211122022101 its reverse (101220221112121), we get a palindrome (222431343134222).

The spelling of 121211122022101 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred twenty-two million, twenty-two thousand, one hundred one".