2102211111101 has 8 divisors (see below), whose sum is σ = 2108166570624. Its totient is φ = 2096263653120.

The previous prime is 2102211111089. The next prime is 2102211111103. The reversal of 2102211111101 is 1011111122012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2102211111101 - 2³⁰ = 2101137369277 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 (2102211111103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1473995 + ... + 2525288.

It is an arithmetic number, because the mean of its divisors is an integer number (263520821328).

Almost surely, 2^{2102211111101} is an apocalyptic number.

It is an amenable number.

2102211111101 is a deficient number, since it is larger than the sum of its proper divisors (5955459523).

2102211111101 is an equidigital number, since it uses as much as digits as its factorization.

2102211111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000771.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2102211111101 its reverse (1011111122012), we get a palindrome (3113322233113).

The spelling of 2102211111101 in words is "two trillion, one hundred two billion, two hundred eleven million, one hundred eleven thousand, one hundred one".