102120000212201 has 2 divisors, whose sum is σ = 102120000212202. Its totient is φ = 102120000212200.

The previous prime is 102120000212179. The next prime is 102120000212203. The reversal of 102120000212201 is 102212000021201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99374182195600 + 2745818016601 = 9968660^2 + 1657051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102120000212201 is a prime.

Together with 102120000212203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102120000212203) 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, 51060000106100 + 51060000106101.

It is an arithmetic number, because the mean of its divisors is an integer number (51060000106101).

Almost surely, 2^{102120000212201} is an apocalyptic number.

It is an amenable number.

102120000212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102120000212201 is an equidigital number, since it uses as much as digits as its factorization.

102120000212201 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 14.

Adding to 102120000212201 its reverse (102212000021201), we get a palindrome (204332000233402).

The spelling of 102120000212201 in words is "one hundred two trillion, one hundred twenty billion, two hundred twelve thousand, two hundred one".