100103322000 has 320 divisors, whose sum is σ = 355582027008. Its totient is φ = 24025600000.

The previous prime is 100103321939. The next prime is 100103322013. The reversal of 100103322000 is 223301001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6658492 + ... + 6673508.

Almost surely, 2^100103322000 is an apocalyptic number.

100103322000 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 100103322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177791013504).

100103322000 is an abundant number, since it is smaller than the sum of its proper divisors (255478705008).

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

100103322000 is a wasteful number, since it uses less digits than its factorization.

100103322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15155 (or 15139 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100103322000 its reverse (223301001), we get a palindrome (100326623001).

The spelling of 100103322000 in words is "one hundred billion, one hundred three million, three hundred twenty-two thousand".