2102000211101 has 16 divisors (see below), whose sum is σ = 2415228140160. Its totient is φ = 1792013496000.

The previous prime is 2102000211089. The next prime is 2102000211139. The reversal of 2102000211101 is 1011120002012.

It is not a de Polignac number, because 2102000211101 - 2³⁸ = 1827122304157 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102000211191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4248695 + ... + 4717563.

It is an arithmetic number, because the mean of its divisors is an integer number (150951758760).

Almost surely, 2^{2102000211101} is an apocalyptic number.

It is an amenable number.

2102000211101 is a deficient number, since it is larger than the sum of its proper divisors (313227929059).

2102000211101 is a wasteful number, since it uses less digits than its factorization.

2102000211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472324.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2102000211101 its reverse (1011120002012), we get a palindrome (3113120213113).

The spelling of 2102000211101 in words is "two trillion, one hundred two billion, two hundred eleven thousand, one hundred one".