101113567200 has 216 divisors, whose sum is σ = 356855191056. Its totient is φ = 26940672000.

The previous prime is 101113567193. The next prime is 101113567213. The reversal of 101113567200 is 2765311101.

101113567200 is a `hidden beast` number, since 101 + 1 + 1 + 356 + 7 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9505885 + ... + 9516515.

It is an arithmetic number, because the mean of its divisors is an integer number (1652107366).

Almost surely, 2^101113567200 is an apocalyptic number.

101113567200 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 101113567200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178427595528).

101113567200 is an abundant number, since it is smaller than the sum of its proper divisors (255741623856).

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

101113567200 is a wasteful number, since it uses less digits than its factorization.

101113567200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11978 (or 11962 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 101113567200 its reverse (2765311101), we get a palindrome (103878878301).

The spelling of 101113567200 in words is "one hundred one billion, one hundred thirteen million, five hundred sixty-seven thousand, two hundred".