100211202202113 has 12 divisors (see below), whose sum is σ = 146182677801108. Its totient is φ = 66146008053600.

The previous prime is 100211202202073. The next prime is 100211202202117. The reversal of 100211202202113 is 311202202112001.

100211202202113 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 20 + 220 + 211 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47412478891584 + 52798723310529 = 6885672^2 + 7266273^2 .

It is not a de Polignac number, because 100211202202113 - 2⁸ = 100211202201857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100211202202117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 55121672470 + ... + 55121674287.

It is an arithmetic number, because the mean of its divisors is an integer number (12181889816759).

Almost surely, 2^{100211202202113} is an apocalyptic number.

It is an amenable number.

100211202202113 is a deficient number, since it is larger than the sum of its proper divisors (45971475598995).

100211202202113 is a wasteful number, since it uses less digits than its factorization.

100211202202113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110243346864 (or 110243346861 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100211202202113 its reverse (311202202112001), we get a palindrome (411413404314114).

The spelling of 100211202202113 in words is "one hundred trillion, two hundred eleven billion, two hundred two million, two hundred two thousand, one hundred thirteen".