100221123220 has 96 divisors (see below), whose sum is σ = 223777790208. Its totient is φ = 37623201792.

The previous prime is 100221123173. The next prime is 100221123241. The reversal of 100221123220 is 22321122001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100221123194 and 100221123203.

It is a congruent number.

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, 7914414 + ... + 7927066.

It is an arithmetic number, because the mean of its divisors is an integer number (2331018648).

Almost surely, 2^100221123220 is an apocalyptic number.

100221123220 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 100221123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111888895104).

100221123220 is an abundant number, since it is smaller than the sum of its proper divisors (123556666988).

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

100221123220 is a wasteful number, since it uses less digits than its factorization.

100221123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13009 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100221123220 its reverse (22321122001), we get a palindrome (122542245221).

The spelling of 100221123220 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-three thousand, two hundred twenty".