4034120120101 has 8 divisors (see below), whose sum is σ = 4132543333464. Its totient is φ = 3935698337280.

The previous prime is 4034120120081. The next prime is 4034120120141. The reversal of 4034120120101 is 1010210214304.

It can be written as a sum of positive squares in 4 ways, for example, as 148494622500 + 3885625497601 = 385350^2 + 1971199^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4034120120101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034120120141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7356115 + ... + 7885471.

It is an arithmetic number, because the mean of its divisors is an integer number (516567916683).

Almost surely, 2^{4034120120101} is an apocalyptic number.

4034120120101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4034120120101 is a deficient number, since it is larger than the sum of its proper divisors (98423213363).

4034120120101 is a wasteful number, since it uses less digits than its factorization.

4034120120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715271.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 4034120120101 its reverse (1010210214304), we get a palindrome (5044330334405).

The spelling of 4034120120101 in words is "four trillion, thirty-four billion, one hundred twenty million, one hundred twenty thousand, one hundred one".