2242304314101 has 6 divisors (see below), whose sum is σ = 3238884009270. Its totient is φ = 1494869542728.

The previous prime is 2242304314067. The next prime is 2242304314109. The reversal of 2242304314101 is 1014134032422.

2242304314101 is a `hidden beast` number, since 2 + 2 + 42 + 304 + 314 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2242060017201 + 244296900 = 1497351^2 + 15630^2 .

It is not a de Polignac number, because 2242304314101 - 2¹³ = 2242304305909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242304314109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124572461886 + ... + 124572461903.

It is an arithmetic number, because the mean of its divisors is an integer number (539814001545).

Almost surely, 2^{2242304314101} is an apocalyptic number.

It is an amenable number.

2242304314101 is a deficient number, since it is larger than the sum of its proper divisors (996579695169).

2242304314101 is a wasteful number, since it uses less digits than its factorization.

2242304314101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249144923795 (or 249144923792 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2242304314101 its reverse (1014134032422), we get a palindrome (3256438346523).

The spelling of 2242304314101 in words is "two trillion, two hundred forty-two billion, three hundred four million, three hundred fourteen thousand, one hundred one".