102100012005221 has 2 divisors, whose sum is σ = 102100012005222. Its totient is φ = 102100012005220.

The previous prime is 102100012005203. The next prime is 102100012005269. The reversal of 102100012005221 is 122500210001201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69396996996196 + 32703015009025 = 8330486^2 + 5718655^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100012005221 - 2³⁰ = 102098938263397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102100012005221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100012005281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050006002610 + 51050006002611.

It is an arithmetic number, because the mean of its divisors is an integer number (51050006002611).

Almost surely, 2^{102100012005221} is an apocalyptic number.

It is an amenable number.

102100012005221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100012005221 is an equidigital number, since it uses as much as digits as its factorization.

102100012005221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 102100012005221 its reverse (122500210001201), we get a palindrome (224600222006422).

The spelling of 102100012005221 in words is "one hundred two trillion, one hundred billion, twelve million, five thousand, two hundred twenty-one".