2102200100011 has 32 divisors (see below), whose sum is σ = 2376496152576. Its totient is φ = 1842958656000.

The previous prime is 2102200099943. The next prime is 2102200100047. The reversal of 2102200100011 is 1100010022012.

It is not a de Polignac number, because 2102200100011 - 2¹³ = 2102200091819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102200100081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15454351 + ... + 15589783.

It is an arithmetic number, because the mean of its divisors is an integer number (74265504768).

Almost surely, 2^{2102200100011} is an apocalyptic number.

2102200100011 is a deficient number, since it is larger than the sum of its proper divisors (274296052565).

2102200100011 is a wasteful number, since it uses less digits than its factorization.

2102200100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135883.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2102200100011 its reverse (1100010022012), we get a palindrome (3202210122023).

The spelling of 2102200100011 in words is "two trillion, one hundred two billion, two hundred million, one hundred thousand, eleven".