102221112001 has 2 divisors, whose sum is σ = 102221112002. Its totient is φ = 102221112000.

The previous prime is 102221111987. The next prime is 102221112017. The reversal of 102221112001 is 100211122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63677999025 + 38543112976 = 252345^2 + 196324^2 .

It is an emirp because it is prime and its reverse (100211122201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102221112001 - 2²⁵ = 102187557569 is a prime.

It is not a weakly prime, because it can be changed into another prime (102221112061) 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, 51110556000 + 51110556001.

It is an arithmetic number, because the mean of its divisors is an integer number (51110556001).

Almost surely, 2^102221112001 is an apocalyptic number.

It is an amenable number.

102221112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221112001 is an equidigital number, since it uses as much as digits as its factorization.

102221112001 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 102221112001 its reverse (100211122201), we get a palindrome (202432234202).

The spelling of 102221112001 in words is "one hundred two billion, two hundred twenty-one million, one hundred twelve thousand, one".