2100220122011 has 12 divisors (see below), whose sum is σ = 2334444701400. Its totient is φ = 1887838302240.

The previous prime is 2100220122001. The next prime is 2100220122047. The reversal of 2100220122011 is 1102210220012.

It is a de Polignac number, because none of the positive numbers 2^k-2100220122011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100220122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97501541 + ... + 97523078.

It is an arithmetic number, because the mean of its divisors is an integer number (194537058450).

Almost surely, 2^{2100220122011} is an apocalyptic number.

2100220122011 is a deficient number, since it is larger than the sum of its proper divisors (234224579389).

2100220122011 is a wasteful number, since it uses less digits than its factorization.

2100220122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195024730 (or 195024719 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2100220122011 its reverse (1102210220012), we get a palindrome (3202430342023).

The spelling of 2100220122011 in words is "two trillion, one hundred billion, two hundred twenty million, one hundred twenty-two thousand, eleven".