100220100201220 has 48 divisors (see below), whose sum is σ = 218001184274160. Its totient is φ = 38655621648896.

The previous prime is 100220100201209. The next prime is 100220100201259. The reversal of 100220100201220 is 22102001022001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20885558085184 + 79334542116036 = 4570072^2 + 8906994^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100220100201220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111319627 + ... + 112216306.

It is an arithmetic number, because the mean of its divisors is an integer number (4541691339045).

Almost surely, 2^{100220100201220} is an apocalyptic number.

100220100201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220100201220 is an abundant number, since it is smaller than the sum of its proper divisors (117781084072940).

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

100220100201220 is a wasteful number, since it uses less digits than its factorization.

100220100201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223536744 (or 223536742 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100220100201220 its reverse (22102001022001), we get a palindrome (122322101223221).

The spelling of 100220100201220 in words is "one hundred trillion, two hundred twenty billion, one hundred million, two hundred one thousand, two hundred twenty".