429000111101001 has 32 divisors (see below), whose sum is σ = 629763817098240. Its totient is φ = 257598838785600.

The previous prime is 429000111100991. The next prime is 429000111101021. The reversal of 429000111101001 is 100101111000924.

It is not a de Polignac number, because 429000111101001 - 2¹⁸ = 429000110838857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (429000111101021) 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 in 31 ways as a sum of consecutive naturals, for example, 54708886 + ... + 62056928.

It is an arithmetic number, because the mean of its divisors is an integer number (19680119284320).

Almost surely, 2^{429000111101001} is an apocalyptic number.

It is an amenable number.

429000111101001 is a deficient number, since it is larger than the sum of its proper divisors (200763705997239).

429000111101001 is a wasteful number, since it uses less digits than its factorization.

429000111101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7364397.

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 429000111101001 its reverse (100101111000924), we get a palindrome (529101222101925).

The spelling of 429000111101001 in words is "four hundred twenty-nine trillion, one hundred eleven million, one hundred one thousand, one".