429101222101957 has 2 divisors, whose sum is σ = 429101222101958. Its totient is φ = 429101222101956.

The previous prime is 429101222101891. The next prime is 429101222102053. The reversal of 429101222101957 is 759101222101924.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 429092954564481 + 8267537476 = 20714559^2 + 90926^2 .

It is a cyclic number.

It is not a de Polignac number, because 429101222101957 - 2⁷ = 429101222101829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (429101222101757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214550611050978 + 214550611050979.

It is an arithmetic number, because the mean of its divisors is an integer number (214550611050979).

Almost surely, 2^{429101222101957} is an apocalyptic number.

It is an amenable number.

429101222101957 is a deficient number, since it is larger than the sum of its proper divisors (1).

429101222101957 is an equidigital number, since it uses as much as digits as its factorization.

429101222101957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 429101222101957 in words is "four hundred twenty-nine trillion, one hundred one billion, two hundred twenty-two million, one hundred one thousand, nine hundred fifty-seven".