2101221122011 has 16 divisors (see below), whose sum is σ = 2496088454400. Its totient is φ = 1747261908000.

The previous prime is 2101221121997. The next prime is 2101221122023. The reversal of 2101221122011 is 1102211221012.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101221122011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101221122081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173333415 + ... + 173345536.

It is an arithmetic number, because the mean of its divisors is an integer number (156005528400).

Almost surely, 2^{2101221122011} is an apocalyptic number.

2101221122011 is a deficient number, since it is larger than the sum of its proper divisors (394867332389).

2101221122011 is a wasteful number, since it uses less digits than its factorization.

2101221122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346679010.

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

Adding to 2101221122011 its reverse (1102211221012), we get a palindrome (3203432343023).

Subtracting from 2101221122011 its reverse (1102211221012), we obtain a palindrome (999009900999).

The spelling of 2101221122011 in words is "two trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, eleven".