112121100021257 has 2 divisors, whose sum is σ = 112121100021258. Its totient is φ = 112121100021256.

The previous prime is 112121100021167. The next prime is 112121100021299. The reversal of 112121100021257 is 752120001121211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79465029747856 + 32656070273401 = 8914316^2 + 5714549^2 .

It is a cyclic number.

It is not a de Polignac number, because 112121100021257 - 2¹⁸ = 112121099759113 is a prime.

It is a super-2 number, since 2×112121100021257² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112121100021157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060550010628 + 56060550010629.

It is an arithmetic number, because the mean of its divisors is an integer number (56060550010629).

Almost surely, 2^{112121100021257} is an apocalyptic number.

It is an amenable number.

112121100021257 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121100021257 is an equidigital number, since it uses as much as digits as its factorization.

112121100021257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 26.

Adding to 112121100021257 its reverse (752120001121211), we get a palindrome (864241101142468).

The spelling of 112121100021257 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred million, twenty-one thousand, two hundred fifty-seven".