2122331113101 has 64 divisors (see below), whose sum is σ = 3250584207360. Its totient is φ = 1223800427520.

The previous prime is 2122331113099. The next prime is 2122331113103. The reversal of 2122331113101 is 1013111332212.

It is an interprime number because it is at equal distance from previous prime (2122331113099) and next prime (2122331113103).

It is not a de Polignac number, because 2122331113101 - 2¹ = 2122331113099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122331113103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4844511 + ... + 5264403.

It is an arithmetic number, because the mean of its divisors is an integer number (50790378240).

Almost surely, 2^{2122331113101} is an apocalyptic number.

It is an amenable number.

2122331113101 is a deficient number, since it is larger than the sum of its proper divisors (1128253094259).

2122331113101 is a wasteful number, since it uses less digits than its factorization.

2122331113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420106.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 2122331113101 its reverse (1013111332212), we get a palindrome (3135442445313).

The spelling of 2122331113101 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-one million, one hundred thirteen thousand, one hundred one".