112201210121 has 64 divisors (see below), whose sum is σ = 154558236672. Its totient is φ = 78615360000.

The previous prime is 112201210117. The next prime is 112201210139. The reversal of 112201210121 is 121012102211.

It is a cyclic number.

It is not a de Polignac number, because 112201210121 - 2² = 112201210117 is a prime.

It is a super-2 number, since 2×112201210121² (a number of 23 digits) contains 22 as substring.

112201210121 is a modest number, since divided by 1210121 gives 1122 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 112201210096 and 112201210105.

It is not an unprimeable number, because it can be changed into a prime (112201210141) 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 63 ways as a sum of consecutive naturals, for example, 33282566 + ... + 33285936.

It is an arithmetic number, because the mean of its divisors is an integer number (2414972448).

Almost surely, 2^112201210121 is an apocalyptic number.

112201210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112201210121 is a deficient number, since it is larger than the sum of its proper divisors (42357026551).

112201210121 is a wasteful number, since it uses less digits than its factorization.

112201210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254.

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

Adding to 112201210121 its reverse (121012102211), we get a palindrome (233213312332).

The spelling of 112201210121 in words is "one hundred twelve billion, two hundred one million, two hundred ten thousand, one hundred twenty-one".