4801138034101 has 24 divisors (see below), whose sum is σ = 5191983316800. Its totient is φ = 4436426790720.

The previous prime is 4801138034083. The next prime is 4801138034111. The reversal of 4801138034101 is 1014308311084.

It is not a de Polignac number, because 4801138034101 - 2⁹ = 4801138033589 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 (4801138034111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64184160 + ... + 64258918.

It is an arithmetic number, because the mean of its divisors is an integer number (216332638200).

Almost surely, 2^{4801138034101} is an apocalyptic number.

4801138034101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4801138034101 is a deficient number, since it is larger than the sum of its proper divisors (390845282699).

4801138034101 is a wasteful number, since it uses less digits than its factorization.

4801138034101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79177 (or 79158 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 4801138034101 in words is "four trillion, eight hundred one billion, one hundred thirty-eight million, thirty-four thousand, one hundred one".