34500122100543 has 16 divisors (see below), whose sum is σ = 50205544451712. Its totient is φ = 20899352964000.

The previous prime is 34500122100529. The next prime is 34500122100569.

34500122100543 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-34500122100543 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34500122100543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34500122100043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245227248 + ... + 245367893.

It is an arithmetic number, because the mean of its divisors is an integer number (3137846528232).

Almost surely, 2^{34500122100543} is an apocalyptic number.

34500122100543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34500122100543 is a deficient number, since it is larger than the sum of its proper divisors (15705422351169).

34500122100543 is a wasteful number, since it uses less digits than its factorization.

34500122100543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490597286.

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 3450012 and 2100543, that added together give a palindrome (5550555).

The spelling of 34500122100543 in words is "thirty-four trillion, five hundred billion, one hundred twenty-two million, one hundred thousand, five hundred forty-three".