2100202112211 has 32 divisors (see below), whose sum is σ = 3207541939200. Its totient is φ = 1197404889600.

The previous prime is 2100202112179. The next prime is 2100202112269. The reversal of 2100202112211 is 1122112020012.

It is not a de Polignac number, because 2100202112211 - 2⁵ = 2100202112179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100202111211) 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 31 ways as a sum of consecutive naturals, for example, 24320911 + ... + 24407111.

It is an arithmetic number, because the mean of its divisors is an integer number (100235685600).

Almost surely, 2^{2100202112211} is an apocalyptic number.

2100202112211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2100202112211 is a deficient number, since it is larger than the sum of its proper divisors (1107339826989).

2100202112211 is a wasteful number, since it uses less digits than its factorization.

2100202112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88819.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2100202112211 its reverse (1122112020012), we get a palindrome (3222314132223).

The spelling of 2100202112211 in words is "two trillion, one hundred billion, two hundred two million, one hundred twelve thousand, two hundred eleven".