34201111110243 has 64 divisors (see below), whose sum is σ = 57709637787648. Its totient is φ = 17499427038720.

The previous prime is 34201111110209. The next prime is 34201111110277.

34201111110243 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34201111110209) and next prime (34201111110277).

It is not a de Polignac number, because 34201111110243 - 2²⁵ = 34201077555811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34201111115243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126265371 + ... + 126535947.

It is an arithmetic number, because the mean of its divisors is an integer number (901713090432).

Almost surely, 2^{34201111110243} is an apocalyptic number.

34201111110243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34201111110243 is a deficient number, since it is larger than the sum of its proper divisors (23508526677405).

34201111110243 is a wasteful number, since it uses less digits than its factorization.

34201111110243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278832.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 3420111 and 1110243, that added together give a palindrome (4530354).

The spelling of 34201111110243 in words is "thirty-four trillion, two hundred one billion, one hundred eleven million, one hundred ten thousand, two hundred forty-three".