100000000322100 has 216 divisors, whose sum is σ = 321290177284440. Its totient is φ = 25999994880000.

The previous prime is 100000000322041. The next prime is 100000000322153. The reversal of 100000000322100 is 1223000000001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 33310858661136 + 66689141660964 = 5771556^2 + 8166342^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58230546 + ... + 59923254.

It is an arithmetic number, because the mean of its divisors is an integer number (1487454524465).

Almost surely, 2^{100000000322100} is an apocalyptic number.

100000000322100 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 100000000322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160645088642220).

100000000322100 is an abundant number, since it is smaller than the sum of its proper divisors (221290176962340).

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

100000000322100 is a wasteful number, since it uses less digits than its factorization.

100000000322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694371 (or 1694361 counting only the distinct ones).

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

Adding to 100000000322100 its reverse (1223000000001), we get a palindrome (101223000322101).

The spelling of 100000000322100 in words is "one hundred trillion, three hundred twenty-two thousand, one hundred".