2301041301100 has 144 divisors (see below), whose sum is σ = 5274363669120. Its totient is φ = 868943116800.

The previous prime is 2301041301079. The next prime is 2301041301109. The reversal of 2301041301100 is 11031401032.

It is a super-2 number, since 2×2301041301100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2301041301109) 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 47 ways as a sum of consecutive naturals, for example, 968043112 + ... + 968045488.

It is an arithmetic number, because the mean of its divisors is an integer number (36627525480).

Almost surely, 2^{2301041301100} is an apocalyptic number.

2301041301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301041301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637181834560).

2301041301100 is an abundant number, since it is smaller than the sum of its proper divisors (2973322368020).

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

2301041301100 is a wasteful number, since it uses less digits than its factorization.

2301041301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2301041301100 its reverse (11031401032), we get a palindrome (2312072702132).

The spelling of 2301041301100 in words is "two trillion, three hundred one billion, forty-one million, three hundred one thousand, one hundred".