122021002002101 has 2 divisors, whose sum is σ = 122021002002102. Its totient is φ = 122021002002100.

The previous prime is 122021002002061. The next prime is 122021002002121. The reversal of 122021002002101 is 101200200120221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104269728675025 + 17751273327076 = 10211255^2 + 4213226^2 .

It is a cyclic number.

It is not a de Polignac number, because 122021002002101 - 2²⁶ = 122020934893237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122021002002121) 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, 61010501001050 + 61010501001051.

It is an arithmetic number, because the mean of its divisors is an integer number (61010501001051).

Almost surely, 2^{122021002002101} is an apocalyptic number.

It is an amenable number.

122021002002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122021002002101 is an equidigital number, since it uses as much as digits as its factorization.

122021002002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122021002002101 its reverse (101200200120221), we get a palindrome (223221202122322).

The spelling of 122021002002101 in words is "one hundred twenty-two trillion, twenty-one billion, two million, two thousand, one hundred one".