3001111000101 has 32 divisors (see below), whose sum is σ = 4483748874240. Its totient is φ = 1983851319600.

The previous prime is 3001111000081. The next prime is 3001111000109. The reversal of 3001111000101 is 1010001111003.

It is not a de Polignac number, because 3001111000101 - 2²¹ = 3001108902949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001111000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105746 + ... + 2687916.

It is an arithmetic number, because the mean of its divisors is an integer number (140117152320).

Almost surely, 2^{3001111000101} is an apocalyptic number.

It is an amenable number.

3001111000101 is a deficient number, since it is larger than the sum of its proper divisors (1482637874139).

3001111000101 is a wasteful number, since it uses less digits than its factorization.

3001111000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582774 (or 1582768 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 3001111000101 its reverse (1010001111003), we get a palindrome (4011112111104).

The spelling of 3001111000101 in words is "three trillion, one billion, one hundred eleven million, one hundred one", and thus it is an aban number.