101200101123221 has 2 divisors, whose sum is σ = 101200101123222. Its totient is φ = 101200101123220.

The previous prime is 101200101123211. The next prime is 101200101123241. The reversal of 101200101123221 is 122321101002101.

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., 101145863836900 + 54237286321 = 10057130^2 + 232889^2 .

It is an emirp because it is prime and its reverse (122321101002101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101200101123221 - 2⁴² = 96802054612117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101200101123221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200101123211) 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, 50600050561610 + 50600050561611.

It is an arithmetic number, because the mean of its divisors is an integer number (50600050561611).

Almost surely, 2^{101200101123221} is an apocalyptic number.

It is an amenable number.

101200101123221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200101123221 is an equidigital number, since it uses as much as digits as its factorization.

101200101123221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101200101123221 its reverse (122321101002101), we get a palindrome (223521202125322).

The spelling of 101200101123221 in words is "one hundred one trillion, two hundred billion, one hundred one million, one hundred twenty-three thousand, two hundred twenty-one".