10100104321200 has 240 divisors, whose sum is σ = 34261530577056. Its totient is φ = 2534606028800.

The previous prime is 10100104321189. The next prime is 10100104321211. The reversal of 10100104321200 is 212340100101.

It is an interprime number because it is at equal distance from previous prime (10100104321189) and next prime (10100104321211).

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 10100104321200.

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, 188081554 + ... + 188135246.

Almost surely, 2^{10100104321200} is an apocalyptic number.

10100104321200 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 10100104321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17130765288528).

10100104321200 is an abundant number, since it is smaller than the sum of its proper divisors (24161426255856).

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

10100104321200 is a wasteful number, since it uses less digits than its factorization.

10100104321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62952 (or 62941 counting only the distinct ones).

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

Adding to 10100104321200 its reverse (212340100101), we get a palindrome (10312444421301).

The spelling of 10100104321200 in words is "ten trillion, one hundred billion, one hundred four million, three hundred twenty-one thousand, two hundred".