102010112212201 has 2 divisors, whose sum is σ = 102010112212202. Its totient is φ = 102010112212200.

The previous prime is 102010112212199. The next prime is 102010112212219. The reversal of 102010112212201 is 102212211010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71669007720025 + 30341104492176 = 8465755^2 + 5508276^2 .

It is an emirp because it is prime and its reverse (102212211010201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102010112212201 - 2¹ = 102010112212199 is a prime.

Together with 102010112212199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102010112212601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005056106100 + 51005056106101.

It is an arithmetic number, because the mean of its divisors is an integer number (51005056106101).

Almost surely, 2^{102010112212201} is an apocalyptic number.

It is an amenable number.

102010112212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010112212201 is an equidigital number, since it uses as much as digits as its factorization.

102010112212201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102010112212201 its reverse (102212211010201), we get a palindrome (204222323222402).

The spelling of 102010112212201 in words is "one hundred two trillion, ten billion, one hundred twelve million, two hundred twelve thousand, two hundred one".