100022222100220 has 288 divisors, whose sum is σ = 253173727469376. Its totient is φ = 33076089446400.

The previous prime is 100022222100209. The next prime is 100022222100253. The reversal of 100022222100220 is 22001222220001.

It is a junction number, because it is equal to n+sod(n) for n = 100022222100194 and 100022222100203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6346177140 + ... + 6346192900.

It is an arithmetic number, because the mean of its divisors is an integer number (879075442602).

Almost surely, 2^{100022222100220} is an apocalyptic number.

100022222100220 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 100022222100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126586863734688).

100022222100220 is an abundant number, since it is smaller than the sum of its proper divisors (153151505369156).

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

100022222100220 is a wasteful number, since it uses less digits than its factorization.

100022222100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17901 (or 17892 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100022222100220 its reverse (22001222220001), we get a palindrome (122023444320221).

The spelling of 100022222100220 in words is "one hundred trillion, twenty-two billion, two hundred twenty-two million, one hundred thousand, two hundred twenty".