104101321200 has 240 divisors, whose sum is σ = 348329134080. Its totient is φ = 26525987840.

The previous prime is 104101321187. The next prime is 104101321211. The reversal of 104101321200 is 2123101401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104101321200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50313766 + ... + 50315834.

It is an arithmetic number, because the mean of its divisors is an integer number (1451371392).

Almost surely, 2^104101321200 is an apocalyptic number.

104101321200 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 104101321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174164567040).

104101321200 is an abundant number, since it is smaller than the sum of its proper divisors (244227812880).

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

104101321200 is a wasteful number, since it uses less digits than its factorization.

104101321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 104101321200 its reverse (2123101401), we get a palindrome (106224422601).

The spelling of 104101321200 in words is "one hundred four billion, one hundred one million, three hundred twenty-one thousand, two hundred".