102011222120201 has 2 divisors, whose sum is σ = 102011222120202. Its totient is φ = 102011222120200.

The previous prime is 102011222120179. The next prime is 102011222120207. The reversal of 102011222120201 is 102021222110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101432070679801 + 579151440400 = 10071349^2 + 761020^2 .

It is an emirp because it is prime and its reverse (102021222110201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102011222120201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102011222120201.

It is not a weakly prime, because it can be changed into another prime (102011222120207) 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, 51005611060100 + 51005611060101.

It is an arithmetic number, because the mean of its divisors is an integer number (51005611060101).

Almost surely, 2^{102011222120201} is an apocalyptic number.

It is an amenable number.

102011222120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011222120201 is an equidigital number, since it uses as much as digits as its factorization.

102011222120201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102011222120201 its reverse (102021222110201), we get a palindrome (204032444230402).

The spelling of 102011222120201 in words is "one hundred two trillion, eleven billion, two hundred twenty-two million, one hundred twenty thousand, two hundred one".