100220001200 has 120 divisors (see below), whose sum is σ = 262973882880. Its totient is φ = 36401132800.

The previous prime is 100220001169. The next prime is 100220001209. The reversal of 100220001200 is 2100022001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (100220001209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3889961 + ... + 3915639.

It is an arithmetic number, because the mean of its divisors is an integer number (2191449024).

Almost surely, 2^100220001200 is an apocalyptic number.

100220001200 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 100220001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131486941440).

100220001200 is an abundant number, since it is smaller than the sum of its proper divisors (162753881680).

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

100220001200 is a wasteful number, since it uses less digits than its factorization.

100220001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26595 (or 26584 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100220001200 its reverse (2100022001), we get a palindrome (102320023201).

The spelling of 100220001200 in words is "one hundred billion, two hundred twenty million, one thousand, two hundred".