34001344121101 has 8 divisors (see below), whose sum is σ = 39326855851584. Its totient is φ = 28792876604640.

The previous prime is 34001344121081. The next prime is 34001344121141. The reversal of 34001344121101 is 10112144310043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34001344121101 - 2¹³ = 34001344112909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001344121141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29261052880 + ... + 29261054041.

It is an arithmetic number, because the mean of its divisors is an integer number (4915856981448).

Almost surely, 2^{34001344121101} is an apocalyptic number.

It is an amenable number.

34001344121101 is a deficient number, since it is larger than the sum of its proper divisors (5325511730483).

34001344121101 is an equidigital number, since it uses as much as digits as its factorization.

34001344121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58522107011.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 34001344121101 its reverse (10112144310043), we get a palindrome (44113488431144).

The spelling of 34001344121101 in words is "thirty-four trillion, one billion, three hundred forty-four million, one hundred twenty-one thousand, one hundred one".