112661220210 has 256 divisors, whose sum is σ = 348535554048. Its totient is φ = 22618828800.

The previous prime is 112661220197. The next prime is 112661220289. The reversal of 112661220210 is 12022166211.

It is a super-2 number, since 2×112661220210² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 86862282 + ... + 86863578.

It is an arithmetic number, because the mean of its divisors is an integer number (1361467008).

Almost surely, 2^112661220210 is an apocalyptic number.

112661220210 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 112661220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174267777024).

112661220210 is an abundant number, since it is smaller than the sum of its proper divisors (235874333838).

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

112661220210 is a wasteful number, since it uses less digits than its factorization.

112661220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 112661220210 its reverse (12022166211), we get a palindrome (124683386421).

The spelling of 112661220210 in words is "one hundred twelve billion, six hundred sixty-one million, two hundred twenty thousand, two hundred ten".