101113024100 has 144 divisors (see below), whose sum is σ = 244390608000. Its totient is φ = 36003072000.

The previous prime is 101113024093. The next prime is 101113024139. The reversal of 101113024100 is 1420311101.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11632556 + ... + 11641244.

It is an arithmetic number, because the mean of its divisors is an integer number (1697157000).

Almost surely, 2^101113024100 is an apocalyptic number.

101113024100 is a gapful number since it is divisible by the number (10) 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 101113024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122195304000).

101113024100 is an abundant number, since it is smaller than the sum of its proper divisors (143277583900).

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

101113024100 is a wasteful number, since it uses less digits than its factorization.

101113024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101113024100 its reverse (1420311101), we get a palindrome (102533335201).

The spelling of 101113024100 in words is "one hundred one billion, one hundred thirteen million, twenty-four thousand, one hundred".