2100220112011 has 12 divisors (see below), whose sum is σ = 2474038679520. Its totient is φ = 1777401465840.

The previous prime is 2100220111991. The next prime is 2100220112057. The reversal of 2100220112011 is 1102110220012.

It is not a de Polignac number, because 2100220112011 - 2⁹ = 2100220111499 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100220111982 and 2100220112000.

It is not an unprimeable number, because it can be changed into a prime (2100220112071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271272300 + ... + 271280041.

It is an arithmetic number, because the mean of its divisors is an integer number (206169889960).

Almost surely, 2^{2100220112011} is an apocalyptic number.

2100220112011 is a deficient number, since it is larger than the sum of its proper divisors (373818567509).

2100220112011 is an equidigital number, since it uses as much as digits as its factorization.

2100220112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542552434 (or 542552427 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2100220112011 its reverse (1102110220012), we get a palindrome (3202330332023).

The spelling of 2100220112011 in words is "two trillion, one hundred billion, two hundred twenty million, one hundred twelve thousand, eleven".