100101187200 has 768 divisors, whose sum is σ = 387065226240. Its totient is φ = 22268313600.

The previous prime is 100101187073. The next prime is 100101187253. The reversal of 100101187200 is 2781101001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 730665532 + ... + 730665668.

It is an arithmetic number, because the mean of its divisors is an integer number (503991180).

Almost surely, 2^100101187200 is an apocalyptic number.

100101187200 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 100101187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193532613120).

100101187200 is an abundant number, since it is smaller than the sum of its proper divisors (286964039040).

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

100101187200 is a wasteful number, since it uses less digits than its factorization.

100101187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 21.

Adding to 100101187200 its reverse (2781101001), we get a palindrome (102882288201).

The spelling of 100101187200 in words is "one hundred billion, one hundred one million, one hundred eighty-seven thousand, two hundred".