34201122124211 has 32 divisors (see below), whose sum is σ = 41666504294400. Its totient is φ = 27419814208800.

The previous prime is 34201122124189. The next prime is 34201122124277. The reversal of 34201122124211 is 11242122110243.

It is a cyclic number.

It is not a de Polignac number, because 34201122124211 - 2²² = 34201117929907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34201122123211) 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, 500340686 + ... + 500409036.

It is an arithmetic number, because the mean of its divisors is an integer number (1302078259200).

Almost surely, 2^{34201122124211} is an apocalyptic number.

34201122124211 is a deficient number, since it is larger than the sum of its proper divisors (7465382170189).

34201122124211 is a wasteful number, since it uses less digits than its factorization.

34201122124211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116079.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 34201122124211 its reverse (11242122110243), we get a palindrome (45443244234454).

The spelling of 34201122124211 in words is "thirty-four trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty-four thousand, two hundred eleven".