100022201220 has 384 divisors, whose sum is σ = 311830364160. Its totient is φ = 23858012160.

The previous prime is 100022201219. The next prime is 100022201221. The reversal of 100022201220 is 22102220001.

It is an interprime number because it is at equal distance from previous prime (100022201219) and next prime (100022201221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100022201196 and 100022201205.

It is not an unprimeable number, because it can be changed into a prime (100022201221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 353435199 + ... + 353435481.

It is an arithmetic number, because the mean of its divisors is an integer number (812058240).

Almost surely, 2^100022201220 is an apocalyptic number.

100022201220 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 100022201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155915182080).

100022201220 is an abundant number, since it is smaller than the sum of its proper divisors (211808162940).

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

100022201220 is a wasteful number, since it uses less digits than its factorization.

100022201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100022201220 its reverse (22102220001), we get a palindrome (122124421221).

The spelling of 100022201220 in words is "one hundred billion, twenty-two million, two hundred one thousand, two hundred twenty".