34121011012143 has 32 divisors (see below), whose sum is σ = 50015115360000. Its totient is φ = 20519455737600.

The previous prime is 34121011012139. The next prime is 34121011012147.

34121011012143 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34121011012139) and next prime (34121011012147).

It is not a de Polignac number, because 34121011012143 - 2² = 34121011012139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121011012147) 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, 1201083 + ... + 8347731.

It is an arithmetic number, because the mean of its divisors is an integer number (1562972355000).

Almost surely, 2^{34121011012143} is an apocalyptic number.

34121011012143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34121011012143 is a deficient number, since it is larger than the sum of its proper divisors (15894104347857).

34121011012143 is a wasteful number, since it uses less digits than its factorization.

34121011012143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147783.

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

It can be divided in two parts, 3412101 and 1012143, that added together give a palindrome (4424244).

The spelling of 34121011012143 in words is "thirty-four trillion, one hundred twenty-one billion, eleven million, twelve thousand, one hundred forty-three".