100101100220200 has 24 divisors (see below), whose sum is σ = 232735058012430. Its totient is φ = 40040440088000.

The previous prime is 100101100220171. The next prime is 100101100220203. The reversal of 100101100220200 is 2022001101001.

It can be written as a sum of positive squares in 3 ways, for example, as 69451789083076 + 30649311137124 = 8333774^2 + 5536182^2 .

It is a super-3 number, since 3×100101100220200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100101100220203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250252750351 + ... + 250252750750.

Almost surely, 2^{100101100220200} is an apocalyptic number.

100101100220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101100220200 is an abundant number, since it is smaller than the sum of its proper divisors (132633957792230).

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

100101100220200 is a wasteful number, since it uses less digits than its factorization.

100101100220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500505501117 (or 500505501108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100101100220200 its reverse (2022001101001), we get a palindrome (102123101321201).

The spelling of 100101100220200 in words is "one hundred trillion, one hundred one billion, one hundred million, two hundred twenty thousand, two hundred".