4901110011001 has 8 divisors (see below), whose sum is σ = 5077061073000. Its totient is φ = 4727845224960.

The previous prime is 4901110010969. The next prime is 4901110011043. The reversal of 4901110011001 is 1001100111094.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 169701978601 + 4731408032400 = 411949^2 + 2175180^2 .

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 4901110011001 - 2⁵ = 4901110010969 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 4901110011001.

It is not an unprimeable number, because it can be changed into a prime (4901110011401) 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, 671565276 + ... + 671572573.

It is an arithmetic number, because the mean of its divisors is an integer number (634632634125).

Almost surely, 2^{4901110011001} is an apocalyptic number.

4901110011001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4901110011001 is a deficient number, since it is larger than the sum of its proper divisors (175951061999).

4901110011001 is a wasteful number, since it uses less digits than its factorization.

4901110011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343137979.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 4901110011001 its reverse (1001100111094), we get a palindrome (5902210122095).

The spelling of 4901110011001 in words is "four trillion, nine hundred one billion, one hundred ten million, eleven thousand, one".