100222120220 has 192 divisors, whose sum is σ = 228909542400. Its totient is φ = 36771840000.

The previous prime is 100222120181. The next prime is 100222120223. The reversal of 100222120220 is 22021222001.

It is a junction number, because it is equal to n+sod(n) for n = 100222120195 and 100222120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222120223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415859300 + ... + 415859540.

It is an arithmetic number, because the mean of its divisors is an integer number (1192237200).

Almost surely, 2^100222120220 is an apocalyptic number.

100222120220 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 100222120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114454771200).

100222120220 is an abundant number, since it is smaller than the sum of its proper divisors (128687422180).

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

100222120220 is a wasteful number, since it uses less digits than its factorization.

100222120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100222120220 its reverse (22021222001), we get a palindrome (122243342221).

The spelling of 100222120220 in words is "one hundred billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty".