112302121102020 has 216 divisors, whose sum is σ = 343761600631176. Its totient is φ = 29675687510016.

The previous prime is 112302121102019. The next prime is 112302121102057. The reversal of 112302121102020 is 20201121203211.

112302121102020 is a `hidden beast` number, since 1 + 1 + 230 + 21 + 211 + 0 + 202 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 55878106727556 + 56424014374464 = 7475166^2 + 7511592^2 .

It is a super-2 number, since 2×112302121102020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112302121101984 and 112302121102002.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1723106154 + ... + 1723171326.

It is an arithmetic number, because the mean of its divisors is an integer number (1591488891811).

Almost surely, 2^{112302121102020} is an apocalyptic number.

112302121102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112302121102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171880800315588).

112302121102020 is an abundant number, since it is smaller than the sum of its proper divisors (231459479529156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112302121102020 is a wasteful number, since it uses less digits than its factorization.

112302121102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65831 (or 65633 counting only the distinct ones).

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

Adding to 112302121102020 its reverse (20201121203211), we get a palindrome (132503242305231).

The spelling of 112302121102020 in words is "one hundred twelve trillion, three hundred two billion, one hundred twenty-one million, one hundred two thousand, twenty".