34112103121101 has 16 divisors (see below), whose sum is σ = 49527554443200. Its totient is φ = 20801572864128.

The previous prime is 34112103121087. The next prime is 34112103121127. The reversal of 34112103121101 is 10112130121143.

It is a happy number.

It is not a de Polignac number, because 34112103121101 - 2¹⁷ = 34112102990029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112103122101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10318238856 + ... + 10318242161.

It is an arithmetic number, because the mean of its divisors is an integer number (3095472152700).

Almost surely, 2^{34112103121101} is an apocalyptic number.

It is an amenable number.

34112103121101 is a deficient number, since it is larger than the sum of its proper divisors (15415451322099).

34112103121101 is a wasteful number, since it uses less digits than its factorization.

34112103121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20636481068.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 34112103121101 its reverse (10112130121143), we get a palindrome (44224233242244).

The spelling of 34112103121101 in words is "thirty-four trillion, one hundred twelve billion, one hundred three million, one hundred twenty-one thousand, one hundred one".