100102211221 has 2 divisors, whose sum is σ = 100102211222. Its totient is φ = 100102211220.

The previous prime is 100102211203. The next prime is 100102211249. The reversal of 100102211221 is 122112201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75907964196 + 24194247025 = 275514^2 + 155545^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102211221 - 2⁹ = 100102210709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102211021) 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, 50051105610 + 50051105611.

It is an arithmetic number, because the mean of its divisors is an integer number (50051105611).

Almost surely, 2^100102211221 is an apocalyptic number.

It is an amenable number.

100102211221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102211221 is an equidigital number, since it uses as much as digits as its factorization.

100102211221 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 100102211221 its reverse (122112201001), we get a palindrome (222214412222).

The spelling of 100102211221 in words is "one hundred billion, one hundred two million, two hundred eleven thousand, two hundred twenty-one".