100200222220100 has 36 divisors (see below), whose sum is σ = 217470405302724. Its totient is φ = 40073467121280.

The previous prime is 100200222220081. The next prime is 100200222220103. The reversal of 100200222220100 is 1022222002001.

It can be written as a sum of positive squares in 6 ways, for example, as 29001154513984 + 71199067706116 = 5385272^2 + 8437954^2 .

It is not an unprimeable number, because it can be changed into a prime (100200222220103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82163759 + ... + 83374358.

Almost surely, 2^{100200222220100} is an apocalyptic number.

100200222220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200222220100 is an abundant number, since it is smaller than the sum of its proper divisors (117270183082624).

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

100200222220100 is a wasteful number, since it uses less digits than its factorization.

100200222220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165544184 (or 165544177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100200222220100 its reverse (1022222002001), we get a palindrome (101222444222101).

The spelling of 100200222220100 in words is "one hundred trillion, two hundred billion, two hundred twenty-two million, two hundred twenty thousand, one hundred".