100022110221220 has 96 divisors (see below), whose sum is σ = 234584135976960. Its totient is φ = 35508596108160.

The previous prime is 100022110221197. The next prime is 100022110221281. The reversal of 100022110221220 is 22122011220001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100022110221194 and 100022110221203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16953411 + ... + 22078549.

It is an arithmetic number, because the mean of its divisors is an integer number (2443584749760).

Almost surely, 2^{100022110221220} is an apocalyptic number.

100022110221220 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 100022110221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117292067988480).

100022110221220 is an abundant number, since it is smaller than the sum of its proper divisors (134562025755740).

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

100022110221220 is a wasteful number, since it uses less digits than its factorization.

100022110221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127265 (or 5127263 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100022110221220 its reverse (22122011220001), we get a palindrome (122144121441221).

The spelling of 100022110221220 in words is "one hundred trillion, twenty-two billion, one hundred ten million, two hundred twenty-one thousand, two hundred twenty".