100429157568319 has 2 divisors, whose sum is σ = 100429157568320. Its totient is φ = 100429157568318.

The previous prime is 100429157568283. The next prime is 100429157568449. The reversal of 100429157568319 is 913865751924001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100429157568319 - 2⁷ = 100429157568191 is a prime.

It is a super-2 number, since 2×100429157568319² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100429157568919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50214578784159 + 50214578784160.

It is an arithmetic number, because the mean of its divisors is an integer number (50214578784160).

It is a 1-persistent number, because it is pandigital, but 2⋅100429157568319 = 200858315136638 is not.

Almost surely, 2^{100429157568319} is an apocalyptic number.

100429157568319 is a deficient number, since it is larger than the sum of its proper divisors (1).

100429157568319 is an equidigital number, since it uses as much as digits as its factorization.

100429157568319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 100429157568319 in words is "one hundred trillion, four hundred twenty-nine billion, one hundred fifty-seven million, five hundred sixty-eight thousand, three hundred nineteen".