3001143300100 has 144 divisors (see below), whose sum is σ = 7178587416000. Its totient is φ = 1079959360000.

The previous prime is 3001143300091. The next prime is 3001143300109. The reversal of 3001143300100 is 10033411003.

It is an interprime number because it is at equal distance from previous prime (3001143300091) and next prime (3001143300109).

It is a super-2 number, since 2×3001143300100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3001143300109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256524051 + ... + 256535749.

It is an arithmetic number, because the mean of its divisors is an integer number (49851301500).

Almost surely, 2^{3001143300100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001143300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589293708000).

3001143300100 is an abundant number, since it is smaller than the sum of its proper divisors (4177444115900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3001143300100 is a wasteful number, since it uses less digits than its factorization.

3001143300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14134 (or 14127 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 3001143300100 its reverse (10033411003), we get a palindrome (3011176711103).

The spelling of 3001143300100 in words is "three trillion, one billion, one hundred forty-three million, three hundred thousand, one hundred".