100210201220 has 48 divisors (see below), whose sum is σ = 219624698160. Its totient is φ = 38359351296.

The previous prime is 100210201193. The next prime is 100210201283. The reversal of 100210201220 is 22102012001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7298626624 + 92911574596 = 85432^2 + 304814^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 698957 + ... + 830036.

It is an arithmetic number, because the mean of its divisors is an integer number (4575514545).

Almost surely, 2^100210201220 is an apocalyptic number.

100210201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210201220 is an abundant number, since it is smaller than the sum of its proper divisors (119414496940).

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

100210201220 is a wasteful number, since it uses less digits than its factorization.

100210201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529144 (or 1529142 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100210201220 its reverse (22102012001), we get a palindrome (122312213221).

The spelling of 100210201220 in words is "one hundred billion, two hundred ten million, two hundred one thousand, two hundred twenty".