100201111122221 has 2 divisors, whose sum is σ = 100201111122222. Its totient is φ = 100201111122220.

The previous prime is 100201111122209. The next prime is 100201111122311. The reversal of 100201111122221 is 122221111102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67494275940100 + 32706835182121 = 8215490^2 + 5718989^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201111122221 - 2⁴² = 95803064611117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100201111122221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201111142221) 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, 50100555561110 + 50100555561111.

It is an arithmetic number, because the mean of its divisors is an integer number (50100555561111).

Almost surely, 2^{100201111122221} is an apocalyptic number.

It is an amenable number.

100201111122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201111122221 is an equidigital number, since it uses as much as digits as its factorization.

100201111122221 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 17.

Adding to 100201111122221 its reverse (122221111102001), we get a palindrome (222422222224222).

The spelling of 100201111122221 in words is "one hundred trillion, two hundred one billion, one hundred eleven million, one hundred twenty-two thousand, two hundred twenty-one".