220100012122113 has 40 divisors (see below), whose sum is σ = 332067446748840. Its totient is φ = 145271474611200.

The previous prime is 220100012122079. The next prime is 220100012122127. The reversal of 220100012122113 is 311221210001022.

220100012122113 is a `hidden beast` number, since 220 + 100 + 0 + 121 + 221 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110507442111504 + 109592570010609 = 10512252^2 + 10468647^2 .

It is not a de Polignac number, because 220100012122113 - 2⁶ = 220100012122049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220100012122153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131611281 + ... + 133273137.

It is an arithmetic number, because the mean of its divisors is an integer number (8301686168721).

Almost surely, 2^{220100012122113} is an apocalyptic number.

It is an amenable number.

220100012122113 is a deficient number, since it is larger than the sum of its proper divisors (111967434626727).

220100012122113 is a wasteful number, since it uses less digits than its factorization.

220100012122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678159 (or 1678150 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 220100012122113 its reverse (311221210001022), we get a palindrome (531321222123135).

The spelling of 220100012122113 in words is "two hundred twenty trillion, one hundred billion, twelve million, one hundred twenty-two thousand, one hundred thirteen".