10001221122157 has 2 divisors, whose sum is σ = 10001221122158. Its totient is φ = 10001221122156.

The previous prime is 10001221122091. The next prime is 10001221122163. The reversal of 10001221122157 is 75122112210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9998028985156 + 3192137001 = 3161966^2 + 56499^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001221122157 - 2⁷ = 10001221122029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001221122187) 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 as a sum of consecutive naturals, namely, 5000610561078 + 5000610561079.

It is an arithmetic number, because the mean of its divisors is an integer number (5000610561079).

Almost surely, 2^{10001221122157} is an apocalyptic number.

It is an amenable number.

10001221122157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001221122157 is an equidigital number, since it uses as much as digits as its factorization.

10001221122157 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 25.

Adding to 10001221122157 its reverse (75122112210001), we get a palindrome (85123333332158).

The spelling of 10001221122157 in words is "ten trillion, one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred fifty-seven".