2102222112101 has 4 divisors (see below), whose sum is σ = 2111649117312. Its totient is φ = 2092795106892.

The previous prime is 2102222112059. The next prime is 2102222112127. The reversal of 2102222112101 is 1012112222012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2102222112101 - 2³⁸ = 1827344205157 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102222112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102222172101) 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 3 ways as a sum of consecutive naturals, for example, 4713502271 + ... + 4713502716.

It is an arithmetic number, because the mean of its divisors is an integer number (527912279328).

Almost surely, 2^{2102222112101} is an apocalyptic number.

It is an amenable number.

2102222112101 is a deficient number, since it is larger than the sum of its proper divisors (9427005211).

2102222112101 is an equidigital number, since it uses as much as digits as its factorization.

2102222112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9427005210.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2102222112101 its reverse (1012112222012), we get a palindrome (3114334334113).

The spelling of 2102222112101 in words is "two trillion, one hundred two billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".