34112201121001 has 8 divisors (see below), whose sum is σ = 34187566160520. Its totient is φ = 34036900307712.

The previous prime is 34112201120989. The next prime is 34112201121041. The reversal of 34112201121001 is 10012110221143.

It can be written as a sum of positive squares in 4 ways, for example, as 2159195136400 + 31953005984601 = 1469420^2 + 5652699^2 .

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 34112201121001 - 2⁵ = 34112201120969 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 34112201121001.

It is not an unprimeable number, because it can be changed into a prime (34112201121041) 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, 14993056 + ... + 17117713.

It is an arithmetic number, because the mean of its divisors is an integer number (4273445770065).

Almost surely, 2^{34112201121001} is an apocalyptic number.

It is an amenable number.

34112201121001 is a deficient number, since it is larger than the sum of its proper divisors (75365039519).

34112201121001 is a wasteful number, since it uses less digits than its factorization.

34112201121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32113115.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 34112201121001 its reverse (10012110221143), we get a palindrome (44124311342144).

The spelling of 34112201121001 in words is "thirty-four trillion, one hundred twelve billion, two hundred one million, one hundred twenty-one thousand, one".