121001121211121 has 12 divisors (see below), whose sum is σ = 126491394305892. Its totient is φ = 115739636322816.

The previous prime is 121001121211109. The next prime is 121001121211133. The reversal of 121001121211121 is 121112121100121.

It is an interprime number because it is at equal distance from previous prime (121001121211109) and next prime (121001121211133).

It can be written as a sum of positive squares in 2 ways, for example, as 80814903863521 + 40186217347600 = 8989711^2 + 6339260^2 .

It is not a de Polignac number, because 121001121211121 - 2¹⁰ = 121001121210097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121001121211121.

It is not an unprimeable number, because it can be changed into a prime (121001121211151) 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 in 11 ways as a sum of consecutive naturals, for example, 141778745 + ... + 142629641.

It is an arithmetic number, because the mean of its divisors is an integer number (10540949525491).

Almost surely, 2^{121001121211121} is an apocalyptic number.

It is an amenable number.

121001121211121 is a deficient number, since it is larger than the sum of its proper divisors (5490273094771).

121001121211121 is an equidigital number, since it uses as much as digits as its factorization.

121001121211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119760 (or 1119737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 121001121211121 its reverse (121112121100121), we get a palindrome (242113242311242).

The spelling of 121001121211121 in words is "one hundred twenty-one trillion, one billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".