112121220220101 has 24 divisors (see below), whose sum is σ = 162103559079384. Its totient is φ = 74677935605760.

The previous prime is 112121220220057. The next prime is 112121220220109. The reversal of 112121220220101 is 101022022121211.

112121220220101 is a `hidden beast` number, since 1 + 1 + 2 + 121 + 220 + 220 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4667284952100 + 107453935268001 = 2160390^2 + 10365999^2 .

It is not a de Polignac number, because 112121220220101 - 2¹³ = 112121220211909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121220220109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967663911 + ... + 967779771.

It is an arithmetic number, because the mean of its divisors is an integer number (6754314961641).

Almost surely, 2^{112121220220101} is an apocalyptic number.

It is an amenable number.

112121220220101 is a deficient number, since it is larger than the sum of its proper divisors (49982338859283).

112121220220101 is a wasteful number, since it uses less digits than its factorization.

112121220220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214981 (or 214978 counting only the distinct ones).

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

Adding to 112121220220101 its reverse (101022022121211), we get a palindrome (213143242341312).

The spelling of 112121220220101 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred twenty million, two hundred twenty thousand, one hundred one".