100321002212220 has 144 divisors (see below), whose sum is σ = 307306329587712. Its totient is φ = 26488669288320.

The previous prime is 100321002212113. The next prime is 100321002212239. The reversal of 100321002212220 is 22212200123001.

100321002212220 is a `hidden beast` number, since 10 + 0 + 3 + 210 + 0 + 221 + 2 + 220 = 666.

It is a super-3 number, since 3×100321002212220³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100321002212193 and 100321002212202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127738459 + ... + 128521421.

It is an arithmetic number, because the mean of its divisors is an integer number (2134071733248).

Almost surely, 2^{100321002212220} is an apocalyptic number.

100321002212220 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 100321002212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153653164793856).

100321002212220 is an abundant number, since it is smaller than the sum of its proper divisors (206985327375492).

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

100321002212220 is a wasteful number, since it uses less digits than its factorization.

100321002212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789992 (or 789987 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100321002212220 its reverse (22212200123001), we get a palindrome (122533202335221).

The spelling of 100321002212220 in words is "one hundred trillion, three hundred twenty-one billion, two million, two hundred twelve thousand, two hundred twenty".