100200210022105 has 16 divisors (see below), whose sum is σ = 122287929906384. Its totient is φ = 78796695156480.

The previous prime is 100200210022103. The next prime is 100200210022109. The reversal of 100200210022105 is 501220012002001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16179026003856 + 84021184018249 = 4022316^2 + 9166307^2 .

It is not a de Polignac number, because 100200210022105 - 2¹ = 100200210022103 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100200210022103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102369922 + ... + 103344091.

It is an arithmetic number, because the mean of its divisors is an integer number (7642995619149).

Almost surely, 2^{100200210022105} is an apocalyptic number.

It is an amenable number.

100200210022105 is a deficient number, since it is larger than the sum of its proper divisors (22087719884279).

100200210022105 is a wasteful number, since it uses less digits than its factorization.

100200210022105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205715676.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 100200210022105 its reverse (501220012002001), we get a palindrome (601420222024106).

The spelling of 100200210022105 in words is "one hundred trillion, two hundred billion, two hundred ten million, twenty-two thousand, one hundred five".