2122120011101 has 8 divisors (see below), whose sum is σ = 2209516399608. Its totient is φ = 2036420640000.

The previous prime is 2122120011083. The next prime is 2122120011107. The reversal of 2122120011101 is 1011100212212.

It can be written as a sum of positive squares in 4 ways, for example, as 223927704100 + 1898192307001 = 473210^2 + 1377749^2 .

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 2122120011101 - 2¹⁰ = 2122120010077 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 (2122120011107) 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 7 ways as a sum of consecutive naturals, for example, 424251800 + ... + 424256801.

It is an arithmetic number, because the mean of its divisors is an integer number (276189549951).

Almost surely, 2^{2122120011101} is an apocalyptic number.

It is an amenable number.

2122120011101 is a deficient number, since it is larger than the sum of its proper divisors (87396388507).

2122120011101 is an equidigital number, since it uses as much as digits as its factorization.

2122120011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848508703.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2122120011101 its reverse (1011100212212), we get a palindrome (3133220223313).

The spelling of 2122120011101 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, eleven thousand, one hundred one".