100220414420 has 72 divisors (see below), whose sum is σ = 245689938144. Its totient is φ = 34239772224.

The previous prime is 100220414417. The next prime is 100220414423. The reversal of 100220414420 is 24414022001.

It is an interprime number because it is at equal distance from previous prime (100220414417) and next prime (100220414423).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100220414392 and 100220414401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220414423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96659 + ... + 458021.

It is an arithmetic number, because the mean of its divisors is an integer number (3412360252).

Almost surely, 2^100220414420 is an apocalyptic number.

100220414420 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 100220414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122844969072).

100220414420 is an abundant number, since it is smaller than the sum of its proper divisors (145469523724).

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

100220414420 is a wasteful number, since it uses less digits than its factorization.

100220414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361669 (or 361660 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 100220414420 its reverse (24414022001), we get a palindrome (124634436421).

The spelling of 100220414420 in words is "one hundred billion, two hundred twenty million, four hundred fourteen thousand, four hundred twenty".