100020002020211 has 16 divisors (see below), whose sum is σ = 125188007750400. Its totient is φ = 77795404807968.

The previous prime is 100020002020199. The next prime is 100020002020223. The reversal of 100020002020211 is 112020200020001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100020002020199) and next prime (100020002020223).

It is a cyclic number.

It is not a de Polignac number, because 100020002020211 - 2¹⁴ = 100020002003827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100020002020192 and 100020002020201.

It is not an unprimeable number, because it can be changed into a prime (100020002620211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9314578541 + ... + 9314589278.

It is an arithmetic number, because the mean of its divisors is an integer number (7824250484400).

Almost surely, 2^{100020002020211} is an apocalyptic number.

100020002020211 is a deficient number, since it is larger than the sum of its proper divisors (25168005730189).

100020002020211 is a wasteful number, since it uses less digits than its factorization.

100020002020211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18629167898.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100020002020211 its reverse (112020200020001), we get a palindrome (212040202040212).

The spelling of 100020002020211 in words is "one hundred trillion, twenty billion, two million, twenty thousand, two hundred eleven".