120111120021001 has 2 divisors, whose sum is σ = 120111120021002. Its totient is φ = 120111120021000.

The previous prime is 120111120020981. The next prime is 120111120021073. The reversal of 120111120021001 is 100120021111021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120110201870400 + 918150601 = 10959480^2 + 30301^2 .

It is a cyclic number.

It is not a de Polignac number, because 120111120021001 - 2⁷ = 120111120020873 is a prime.

It is not a weakly prime, because it can be changed into another prime (120111120022001) 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, 60055560010500 + 60055560010501.

It is an arithmetic number, because the mean of its divisors is an integer number (60055560010501).

Almost surely, 2^{120111120021001} is an apocalyptic number.

It is an amenable number.

120111120021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

120111120021001 is an equidigital number, since it uses as much as digits as its factorization.

120111120021001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120111120021001 its reverse (100120021111021), we get a palindrome (220231141132022).

The spelling of 120111120021001 in words is "one hundred twenty trillion, one hundred eleven billion, one hundred twenty million, twenty-one thousand, one".