102122012011007 has 2 divisors, whose sum is σ = 102122012011008. Its totient is φ = 102122012011006.

The previous prime is 102122012010983. The next prime is 102122012011013. The reversal of 102122012011007 is 700110210221201.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102122012011007 - 2⁶ = 102122012010943 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102122012011007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102122012011087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061006005503 + 51061006005504.

It is an arithmetic number, because the mean of its divisors is an integer number (51061006005504).

Almost surely, 2^{102122012011007} is an apocalyptic number.

102122012011007 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122012011007 is an equidigital number, since it uses as much as digits as its factorization.

102122012011007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 102122012011007 its reverse (700110210221201), we get a palindrome (802232222232208).

The spelling of 102122012011007 in words is "one hundred two trillion, one hundred twenty-two billion, twelve million, eleven thousand, seven".