2102211122011 has 64 divisors (see below), whose sum is σ = 2883533377536. Its totient is φ = 1479430656000.

The previous prime is 2102211121999. The next prime is 2102211122117. The reversal of 2102211122011 is 1102211122012.

It is not a de Polignac number, because 2102211122011 - 2¹¹ = 2102211119963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2102211123011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212318161 + ... + 212328061.

It is an arithmetic number, because the mean of its divisors is an integer number (45055209024).

Almost surely, 2^{2102211122011} is an apocalyptic number.

2102211122011 is a deficient number, since it is larger than the sum of its proper divisors (781322255525).

2102211122011 is a wasteful number, since it uses less digits than its factorization.

2102211122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14492.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2102211122011 its reverse (1102211122012), we get a palindrome (3204422244023).

Subtracting from 2102211122011 its reverse (1102211122012), we obtain a palindrome (999999999999).

It can be divided in two parts, 2102211 and 122011, that added together give a palindrome (2224222).

The spelling of 2102211122011 in words is "two trillion, one hundred two billion, two hundred eleven million, one hundred twenty-two thousand, eleven".