10104214430100 has 288 divisors, whose sum is σ = 33508807799040. Its totient is φ = 2302801551360.

The previous prime is 10104214430003. The next prime is 10104214430153. The reversal of 10104214430100 is 103441240101.

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

It is a congruent number.

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, 1296571804 + ... + 1296579596.

It is an arithmetic number, because the mean of its divisors is an integer number (116350027080).

Almost surely, 2^{10104214430100} is an apocalyptic number.

10104214430100 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 10104214430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16754403899520).

10104214430100 is an abundant number, since it is smaller than the sum of its proper divisors (23404593368940).

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

10104214430100 is a wasteful number, since it uses less digits than its factorization.

10104214430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9539 (or 9532 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10104214430100 its reverse (103441240101), we get a palindrome (10207655670201).

The spelling of 10104214430100 in words is "ten trillion, one hundred four billion, two hundred fourteen million, four hundred thirty thousand, one hundred".