2101211100211 has 16 divisors (see below), whose sum is σ = 2211548110848. Its totient is φ = 1992480336000.

The previous prime is 2101211100137. The next prime is 2101211100227. The reversal of 2101211100211 is 1120011121012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2101211100211 - 2⁷ = 2101211100083 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101211100191 and 2101211100200.

It is not an unprimeable number, because it can be changed into a prime (2101211100281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3492411 + ... + 4049611.

It is an arithmetic number, because the mean of its divisors is an integer number (138221756928).

Almost surely, 2^{2101211100211} is an apocalyptic number.

2101211100211 is a deficient number, since it is larger than the sum of its proper divisors (110337010637).

2101211100211 is a wasteful number, since it uses less digits than its factorization.

2101211100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558642.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2101211100211 its reverse (1120011121012), we get a palindrome (3221222221223).

The spelling of 2101211100211 in words is "two trillion, one hundred one billion, two hundred eleven million, one hundred thousand, two hundred eleven".