220112012121201 has 24 divisors (see below), whose sum is σ = 329422203001320. Its totient is φ = 141511860435456.

The previous prime is 220112012121193. The next prime is 220112012121223. The reversal of 220112012121201 is 102121210211022.

220112012121201 is a `hidden beast` number, since 2 + 201 + 120 + 121 + 21 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 969909825600 + 219142102295601 = 984840^2 + 14803449^2 .

It is not a de Polignac number, because 220112012121201 - 2³ = 220112012121193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220112012121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2924728006 + ... + 2924803263.

It is an arithmetic number, because the mean of its divisors is an integer number (13725925125055).

Almost surely, 2^{220112012121201} is an apocalyptic number.

It is an amenable number.

220112012121201 is a deficient number, since it is larger than the sum of its proper divisors (109310190880119).

220112012121201 is a wasteful number, since it uses less digits than its factorization.

220112012121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849531425 (or 5849531422 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220112012121201 its reverse (102121210211022), we get a palindrome (322233222332223).

The spelling of 220112012121201 in words is "two hundred twenty trillion, one hundred twelve billion, twelve million, one hundred twenty-one thousand, two hundred one".