20002100112211 has 16 divisors (see below), whose sum is σ = 24553751872000. Its totient is φ = 16242306852744.

The previous prime is 20002100112193. The next prime is 20002100112217. The reversal of 20002100112211 is 11221100120002.

It is not a de Polignac number, because 20002100112211 - 2⁷ = 20002100112083 is a prime.

It is a super-2 number, since 2×20002100112211² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20002100112191 and 20002100112200.

It is not an unprimeable number, because it can be changed into a prime (20002100112217) 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 15 ways as a sum of consecutive naturals, for example, 1534602975 + ... + 1534616008.

It is an arithmetic number, because the mean of its divisors is an integer number (1534609492000).

Almost surely, 2^{20002100112211} is an apocalyptic number.

20002100112211 is a deficient number, since it is larger than the sum of its proper divisors (4551651759789).

20002100112211 is an equidigital number, since it uses as much as digits as its factorization.

20002100112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069219023 (or 3069219009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20002100112211 its reverse (11221100120002), we get a palindrome (31223200232213).

The spelling of 20002100112211 in words is "twenty trillion, two billion, one hundred million, one hundred twelve thousand, two hundred eleven".