2101141113024 has 112 divisors (see below), whose sum is σ = 5625896767488. Its totient is φ = 692020589568.

The previous prime is 2101141112981. The next prime is 2101141113053. The reversal of 2101141113024 is 4203111411012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7734834 + ... + 8001870.

Almost surely, 2^{2101141113024} is an apocalyptic number.

2101141113024 is a gapful number since it is divisible by the number (24) 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 2101141113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812948383744).

2101141113024 is an abundant number, since it is smaller than the sum of its proper divisors (3524755654464).

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

2101141113024 is a wasteful number, since it uses less digits than its factorization.

2101141113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267542 (or 267532 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 2101141113024 its reverse (4203111411012), we get a palindrome (6304252524036).

The spelling of 2101141113024 in words is "two trillion, one hundred one billion, one hundred forty-one million, one hundred thirteen thousand, twenty-four".