100434001104071 has 32 divisors (see below), whose sum is σ = 112439773693440. Its totient is φ = 89260727048064.

The previous prime is 100434001104023. The next prime is 100434001104077. The reversal of 100434001104071 is 170401100434001.

It is a cyclic number.

It is not a de Polignac number, because 100434001104071 - 2⁶ = 100434001104007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100434001104071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100434001104077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61567460 + ... + 63177686.

It is an arithmetic number, because the mean of its divisors is an integer number (3513742927920).

Almost surely, 2^{100434001104071} is an apocalyptic number.

100434001104071 is a deficient number, since it is larger than the sum of its proper divisors (12005772589369).

100434001104071 is a wasteful number, since it uses less digits than its factorization.

100434001104071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613015.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 100434001104071 its reverse (170401100434001), we get a palindrome (270835101538072).

The spelling of 100434001104071 in words is "one hundred trillion, four hundred thirty-four billion, one million, one hundred four thousand, seventy-one".