120001112311001 has 2 divisors, whose sum is σ = 120001112311002. Its totient is φ = 120001112311000.

The previous prime is 120001112310977. The next prime is 120001112311019. The reversal of 120001112311001 is 100113211100021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118724472197776 + 1276640113225 = 10896076^2 + 1129885^2 .

It is a cyclic number.

It is not a de Polignac number, because 120001112311001 - 2³⁸ = 119726234404057 is a prime.

It is not a weakly prime, because it can be changed into another prime (120001112311051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60000556155500 + 60000556155501.

It is an arithmetic number, because the mean of its divisors is an integer number (60000556155501).

Almost surely, 2^{120001112311001} is an apocalyptic number.

It is an amenable number.

120001112311001 is a deficient number, since it is larger than the sum of its proper divisors (1).

120001112311001 is an equidigital number, since it uses as much as digits as its factorization.

120001112311001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 120001112311001 its reverse (100113211100021), we get a palindrome (220114323411022).

The spelling of 120001112311001 in words is "one hundred twenty trillion, one billion, one hundred twelve million, three hundred eleven thousand, one".