100220202120 has 128 divisors (see below), whose sum is σ = 319748284800. Its totient is φ = 25057714176.

The previous prime is 100220202097. The next prime is 100220202127. The reversal of 100220202120 is 21202022001.

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 = 100220202096 and 100220202105.

It is not an unprimeable number, because it can be changed into a prime (100220202127) 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 31 ways as a sum of consecutive naturals, for example, 5419 + ... + 447738.

It is an arithmetic number, because the mean of its divisors is an integer number (2498033475).

Almost surely, 2^100220202120 is an apocalyptic number.

100220202120 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 100220202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159874142400).

100220202120 is an abundant number, since it is smaller than the sum of its proper divisors (219528082680).

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

100220202120 is a wasteful number, since it uses less digits than its factorization.

100220202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453287 (or 453283 counting only the distinct ones).

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

Adding to 100220202120 its reverse (21202022001), we get a palindrome (121422224121).

The spelling of 100220202120 in words is "one hundred billion, two hundred twenty million, two hundred two thousand, one hundred twenty".