101200242400 has 72 divisors (see below), whose sum is σ = 247280032440. Its totient is φ = 40443240960.

The previous prime is 101200242389. The next prime is 101200242427. The reversal of 101200242400 is 4242002101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 830167 + ... + 944233.

It is an arithmetic number, because the mean of its divisors is an integer number (3434444895).

Almost surely, 2^101200242400 is an apocalyptic number.

101200242400 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 101200242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123640016220).

101200242400 is an abundant number, since it is smaller than the sum of its proper divisors (146079790040).

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

101200242400 is a wasteful number, since it uses less digits than its factorization.

101200242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115196 (or 115183 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 101200242400 its reverse (4242002101), we get a palindrome (105442244501).

The spelling of 101200242400 in words is "one hundred one billion, two hundred million, two hundred forty-two thousand, four hundred".