100100102222200 has 96 divisors (see below), whose sum is σ = 232850433404160. Its totient is φ = 40019797641600.

The previous prime is 100100102222093. The next prime is 100100102222207. The reversal of 100100102222200 is 2222201001001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100102222207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4018942147 + ... + 4018967053.

It is an arithmetic number, because the mean of its divisors is an integer number (2425525347960).

Almost surely, 2^{100100102222200} is an apocalyptic number.

100100102222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100102222200 is an abundant number, since it is smaller than the sum of its proper divisors (132750331181960).

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

100100102222200 is a wasteful number, since it uses less digits than its factorization.

100100102222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34277 (or 34268 counting only the distinct ones).

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

Adding to 100100102222200 its reverse (2222201001001), we get a palindrome (102322303223201).

The spelling of 100100102222200 in words is "one hundred trillion, one hundred billion, one hundred two million, two hundred twenty-two thousand, two hundred".