1000001121257 has 2 divisors, whose sum is σ = 1000001121258. Its totient is φ = 1000001121256.

The previous prime is 1000001121211. The next prime is 1000001121263. The reversal of 1000001121257 is 7521211000001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 956505516121 + 43495605136 = 978011^2 + 208556^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000001121257 - 2¹² = 1000001117161 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000001121857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500000560628 + 500000560629.

It is an arithmetic number, because the mean of its divisors is an integer number (500000560629).

Almost surely, 2^{1000001121257} is an apocalyptic number.

It is an amenable number.

1000001121257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000001121257 is an equidigital number, since it uses as much as digits as its factorization.

1000001121257 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 1000001121257 its reverse (7521211000001), we get a palindrome (8521212121258).

The spelling of 1000001121257 in words is "one trillion, one million, one hundred twenty-one thousand, two hundred fifty-seven".