112001102010 has 192 divisors, whose sum is σ = 339118700544. Its totient is φ = 25117948800.

The previous prime is 112001101991. The next prime is 112001102011. The reversal of 112001102010 is 10201100211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112001101983 and 112001102001.

It is not an unprimeable number, because it can be changed into a prime (112001102011) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9432097 + ... + 9443963.

It is an arithmetic number, because the mean of its divisors is an integer number (1766243232).

Almost surely, 2^112001102010 is an apocalyptic number.

112001102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112001102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169559350272).

112001102010 is an abundant number, since it is smaller than the sum of its proper divisors (227117598534).

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

112001102010 is a wasteful number, since it uses less digits than its factorization.

112001102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12169 (or 12166 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112001102010 its reverse (10201100211), we get a palindrome (122202202221).

The spelling of 112001102010 in words is "one hundred twelve billion, one million, one hundred two thousand, ten".