100220012002220 has 768 divisors, whose sum is σ = 257502063329280. Its totient is φ = 32349852057600.

The previous prime is 100220012002217. The next prime is 100220012002241. The reversal of 100220012002220 is 22200210022001.

It is a junction number, because it is equal to n+sod(n) for n = 100220012002195 and 100220012002204.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 205790578817 + ... + 205790579303.

It is an arithmetic number, because the mean of its divisors is an integer number (335289144960).

Almost surely, 2^{100220012002220} is an apocalyptic number.

100220012002220 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 100220012002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128751031664640).

100220012002220 is an abundant number, since it is smaller than the sum of its proper divisors (157282051327060).

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

100220012002220 is a wasteful number, since it uses less digits than its factorization.

100220012002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 972 counting only the distinct ones).

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

Adding to 100220012002220 its reverse (22200210022001), we get a palindrome (122420222024221).

The spelling of 100220012002220 in words is "one hundred trillion, two hundred twenty billion, twelve million, two thousand, two hundred twenty".