12121000001057 has 2 divisors, whose sum is σ = 12121000001058. Its totient is φ = 12121000001056.

The previous prime is 12121000001041. The next prime is 12121000001093. The reversal of 12121000001057 is 75010000012121.

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., 11228369967376 + 892630033681 = 3350876^2 + 944791^2 .

It is an emirp because it is prime and its reverse (75010000012121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12121000001057 - 2⁴ = 12121000001041 is a prime.

It is a super-2 number, since 2×12121000001057² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12121000001017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060500000528 + 6060500000529.

It is an arithmetic number, because the mean of its divisors is an integer number (6060500000529).

Almost surely, 2^{12121000001057} is an apocalyptic number.

It is an amenable number.

12121000001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121000001057 is an equidigital number, since it uses as much as digits as its factorization.

12121000001057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 20.

Adding to 12121000001057 its reverse (75010000012121), we get a palindrome (87131000013178).

The spelling of 12121000001057 in words is "twelve trillion, one hundred twenty-one billion, one thousand, fifty-seven".