100322111220100 has 864 divisors, whose sum is σ = 283737743372160. Its totient is φ = 30436051968000.

The previous prime is 100322111220091. The next prime is 100322111220197. The reversal of 100322111220100 is 1022111223001.

It is a super-2 number, since 2×100322111220100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 219523219072 + ... + 219523219528.

It is an arithmetic number, because the mean of its divisors is an integer number (328400165940).

Almost surely, 2^{100322111220100} is an apocalyptic number.

100322111220100 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 100322111220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141868871686080).

100322111220100 is an abundant number, since it is smaller than the sum of its proper divisors (183415632152060).

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

100322111220100 is a wasteful number, since it uses less digits than its factorization.

100322111220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100322111220100 its reverse (1022111223001), we get a palindrome (101344222443101).

The spelling of 100322111220100 in words is "one hundred trillion, three hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand, one hundred".