2100201111101 has 16 divisors (see below), whose sum is σ = 2269669334400. Its totient is φ = 1937403830208.

The previous prime is 2100201111083. The next prime is 2100201111119. The reversal of 2100201111101 is 1011111020012.

It is an interprime number because it is at equal distance from previous prime (2100201111083) and next prime (2100201111119).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100201111101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100201111131) 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 15 ways as a sum of consecutive naturals, for example, 1210211 + ... + 2380128.

It is an arithmetic number, because the mean of its divisors is an integer number (141854333400).

Almost surely, 2^{2100201111101} is an apocalyptic number.

It is an amenable number.

2100201111101 is a deficient number, since it is larger than the sum of its proper divisors (169468223299).

2100201111101 is a wasteful number, since it uses less digits than its factorization.

2100201111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591268.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2100201111101 its reverse (1011111020012), we get a palindrome (3111312131113).

The spelling of 2100201111101 in words is "two trillion, one hundred billion, two hundred one million, one hundred eleven thousand, one hundred one".