102222312032101 has 2 divisors, whose sum is σ = 102222312032102. Its totient is φ = 102222312032100.

The previous prime is 102222312032047. The next prime is 102222312032123. The reversal of 102222312032101 is 101230213222201.

It is an a-pointer prime, because the next prime (102222312032123) can be obtained adding 102222312032101 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81267881116900 + 20954430915201 = 9014870^2 + 4577601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102222312032101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102222312032801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111156016050 + 51111156016051.

It is an arithmetic number, because the mean of its divisors is an integer number (51111156016051).

Almost surely, 2^{102222312032101} is an apocalyptic number.

It is an amenable number.

102222312032101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222312032101 is an equidigital number, since it uses as much as digits as its factorization.

102222312032101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102222312032101 its reverse (101230213222201), we get a palindrome (203452525254302).

The spelling of 102222312032101 in words is "one hundred two trillion, two hundred twenty-two billion, three hundred twelve million, thirty-two thousand, one hundred one".