102122112001109 has 2 divisors, whose sum is σ = 102122112001110. Its totient is φ = 102122112001108.

The previous prime is 102122112001001. The next prime is 102122112001139. The reversal of 102122112001109 is 901100211221201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53958206640625 + 48163905360484 = 7345625^2 + 6940022^2 .

It is a cyclic number.

It is not a de Polignac number, because 102122112001109 - 2³⁶ = 102053392524373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102122112001139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061056000554 + 51061056000555.

It is an arithmetic number, because the mean of its divisors is an integer number (51061056000555).

Almost surely, 2^{102122112001109} is an apocalyptic number.

It is an amenable number.

102122112001109 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122112001109 is an equidigital number, since it uses as much as digits as its factorization.

102122112001109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 102122112001109 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twelve million, one thousand, one hundred nine".