121000120111001 has 2 divisors, whose sum is σ = 121000120111002. Its totient is φ = 121000120111000.

The previous prime is 121000120110983. The next prime is 121000120111033. The reversal of 121000120111001 is 100111021000121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91285890553225 + 29714229557776 = 9554365^2 + 5451076^2 .

It is a cyclic number.

It is not a de Polignac number, because 121000120111001 - 2¹⁸ = 121000119848857 is a prime.

It is a super-2 number, since 2×121000120111001² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (121000120101001) 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, 60500060055500 + 60500060055501.

It is an arithmetic number, because the mean of its divisors is an integer number (60500060055501).

Almost surely, 2^{121000120111001} is an apocalyptic number.

It is an amenable number.

121000120111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

121000120111001 is an equidigital number, since it uses as much as digits as its factorization.

121000120111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121000120111001 its reverse (100111021000121), we get a palindrome (221111141111122).

It can be divided in two parts, 121000120 and 111001, that added together give a palindrome (121111121).

The spelling of 121000120111001 in words is "one hundred twenty-one trillion, one hundred twenty million, one hundred eleven thousand, one".