100003122000 has 480 divisors, whose sum is σ = 365137344000. Its totient is φ = 25483852800.

The previous prime is 100003121989. The next prime is 100003122001. The reversal of 100003122000 is 221300001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100003122001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36376626 + ... + 36379374.

It is an arithmetic number, because the mean of its divisors is an integer number (760702800).

Almost surely, 2^100003122000 is an apocalyptic number.

100003122000 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 100003122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182568672000).

100003122000 is an abundant number, since it is smaller than the sum of its proper divisors (265134222000).

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

100003122000 is a wasteful number, since it uses less digits than its factorization.

100003122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100003122000 its reverse (221300001), we get a palindrome (100224422001).

The spelling of 100003122000 in words is "one hundred billion, three million, one hundred twenty-two thousand".