100102210001221 has 2 divisors, whose sum is σ = 100102210001222. Its totient is φ = 100102210001220.

The previous prime is 100102210001119. The next prime is 100102210001239. The reversal of 100102210001221 is 122100012201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75075813036900 + 25026396964321 = 8664630^2 + 5002639^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102210001221 - 2⁴¹ = 97903186745669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102210007221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051105000610 + 50051105000611.

It is an arithmetic number, because the mean of its divisors is an integer number (50051105000611).

Almost surely, 2^{100102210001221} is an apocalyptic number.

It is an amenable number.

100102210001221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102210001221 is an equidigital number, since it uses as much as digits as its factorization.

100102210001221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100102210001221 its reverse (122100012201001), we get a palindrome (222202222202222).

The spelling of 100102210001221 in words is "one hundred trillion, one hundred two billion, two hundred ten million, one thousand, two hundred twenty-one".