102122112001001 has 2 divisors, whose sum is σ = 102122112001002. Its totient is φ = 102122112001000.

The previous prime is 102122112000983. The next prime is 102122112001109. The reversal of 102122112001001 is 100100211221201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58107445734976 + 44014666266025 = 7622824^2 + 6634355^2 .

It is a cyclic number.

It is not a de Polignac number, because 102122112001001 - 2¹⁰ = 102122111999977 is a prime.

It is not a weakly prime, because it can be changed into another prime (102122112001801) 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, 51061056000500 + 51061056000501.

It is an arithmetic number, because the mean of its divisors is an integer number (51061056000501).

Almost surely, 2^{102122112001001} is an apocalyptic number.

It is an amenable number.

102122112001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122112001001 is an equidigital number, since it uses as much as digits as its factorization.

102122112001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102122112001001 its reverse (100100211221201), we get a palindrome (202222323222202).

The spelling of 102122112001001 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twelve million, one thousand, one".