100211010200009 has 2 divisors, whose sum is σ = 100211010200010. Its totient is φ = 100211010200008.

The previous prime is 100211010199987. The next prime is 100211010200107. The reversal of 100211010200009 is 900002010112001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88642168510009 + 11568841690000 = 9414997^2 + 3401300^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211010200009 - 2¹² = 100211010195913 is a prime.

It is a super-3 number, since 3×100211010200009³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100211010200009.

It is not a weakly prime, because it can be changed into another prime (100211010200809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105505100004 + 50105505100005.

It is an arithmetic number, because the mean of its divisors is an integer number (50105505100005).

Almost surely, 2^{100211010200009} is an apocalyptic number.

It is an amenable number.

100211010200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211010200009 is an equidigital number, since it uses as much as digits as its factorization.

100211010200009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

It can be divided in two parts, 1002 and 11010200009, that added together give a palindrome (11010201011).

The spelling of 100211010200009 in words is "one hundred trillion, two hundred eleven billion, ten million, two hundred thousand, nine".