101200220002121 has 2 divisors, whose sum is σ = 101200220002122. Its totient is φ = 101200220002120.

The previous prime is 101200220002117. The next prime is 101200220002129. The reversal of 101200220002121 is 121200022002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54959403998521 + 46240816003600 = 7413461^2 + 6800060^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200220002121 - 2² = 101200220002117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200220002096 and 101200220002105.

It is not a weakly prime, because it can be changed into another prime (101200220002129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600110001060 + 50600110001061.

It is an arithmetic number, because the mean of its divisors is an integer number (50600110001061).

Almost surely, 2^{101200220002121} is an apocalyptic number.

It is an amenable number.

101200220002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200220002121 is an equidigital number, since it uses as much as digits as its factorization.

101200220002121 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 101200220002121 its reverse (121200022002101), we get a palindrome (222400242004222).

The spelling of 101200220002121 in words is "one hundred one trillion, two hundred billion, two hundred twenty million, two thousand, one hundred twenty-one".