100103323200000 has 960 divisors, whose sum is σ = 352616272614144. Its totient is φ = 25181798400000.

The previous prime is 100103323199993. The next prime is 100103323200047. The reversal of 100103323200000 is 2323301001.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 8059193790 + ... + 8059206210.

Almost surely, 2^{100103323200000} is an apocalyptic number.

100103323200000 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 100103323200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176308136307072).

100103323200000 is an abundant number, since it is smaller than the sum of its proper divisors (252512949414144).

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

100103323200000 is an frugal number, since it uses more digits than its factorization.

100103323200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12563 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100103323200000 its reverse (2323301001), we get a palindrome (100105646501001).

The spelling of 100103323200000 in words is "one hundred trillion, one hundred three billion, three hundred twenty-three million, two hundred thousand".