2101211122011 has 4 divisors (see below), whose sum is σ = 2801614829352. Its totient is φ = 1400807414672.

The previous prime is 2101211121991. The next prime is 2101211122081. The reversal of 2101211122011 is 1102211121012.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 2101211122011 - 2²⁹ = 2100674251099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101211122081) 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 3 ways as a sum of consecutive naturals, for example, 350201853666 + ... + 350201853671.

It is an arithmetic number, because the mean of its divisors is an integer number (700403707338).

Almost surely, 2^{2101211122011} is an apocalyptic number.

2101211122011 is a deficient number, since it is larger than the sum of its proper divisors (700403707341).

2101211122011 is an equidigital number, since it uses as much as digits as its factorization.

2101211122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700403707340.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2101211122011 its reverse (1102211121012), we get a palindrome (3203422243023).

Subtracting from 2101211122011 its reverse (1102211121012), we obtain a palindrome (999000000999).

It can be divided in two parts, 2101211 and 122011, that added together give a palindrome (2223222).

The spelling of 2101211122011 in words is "two trillion, one hundred one billion, two hundred eleven million, one hundred twenty-two thousand, eleven".