121100123210257 has 2 divisors, whose sum is σ = 121100123210258. Its totient is φ = 121100123210256.

The previous prime is 121100123210251. The next prime is 121100123210393. The reversal of 121100123210257 is 752012321001121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120070225014336 + 1029898195921 = 10957656^2 + 1014839^2 .

It is an emirp because it is prime and its reverse (752012321001121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121100123210257 - 2¹⁵ = 121100123177489 is a prime.

It is not a weakly prime, because it can be changed into another prime (121100123210251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60550061605128 + 60550061605129.

It is an arithmetic number, because the mean of its divisors is an integer number (60550061605129).

Almost surely, 2^{121100123210257} is an apocalyptic number.

It is an amenable number.

121100123210257 is a deficient number, since it is larger than the sum of its proper divisors (1).

121100123210257 is an equidigital number, since it uses as much as digits as its factorization.

121100123210257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 121100123210257 its reverse (752012321001121), we get a palindrome (873112444211378).

The spelling of 121100123210257 in words is "one hundred twenty-one trillion, one hundred billion, one hundred twenty-three million, two hundred ten thousand, two hundred fifty-seven".