2401101112300 has 144 divisors (see below), whose sum is σ = 6023896633440. Its totient is φ = 821019136000.

The previous prime is 2401101112273. The next prime is 2401101112367. The reversal of 2401101112300 is 32111011042.

It is a super-2 number, since 2×2401101112300² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20680410 + ... + 20796190.

It is an arithmetic number, because the mean of its divisors is an integer number (41832615510).

Almost surely, 2^{2401101112300} is an apocalyptic number.

2401101112300 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 2401101112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011948316720).

2401101112300 is an abundant number, since it is smaller than the sum of its proper divisors (3622795521140).

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

2401101112300 is a wasteful number, since it uses less digits than its factorization.

2401101112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116932 (or 116925 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2401101112300 its reverse (32111011042), we get a palindrome (2433212123342).

The spelling of 2401101112300 in words is "two trillion, four hundred one billion, one hundred one million, one hundred twelve thousand, three hundred".