112122211100010 has 256 divisors, whose sum is σ = 284383298304000. Its totient is φ = 28253828505600.

The previous prime is 112122211099909. The next prime is 112122211100027. The reversal of 112122211100010 is 10001112221211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19104139356 + ... + 19104145224.

It is an arithmetic number, because the mean of its divisors is an integer number (1110872259000).

Almost surely, 2^{112122211100010} is an apocalyptic number.

112122211100010 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 112122211100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142191649152000).

112122211100010 is an abundant number, since it is smaller than the sum of its proper divisors (172261087203990).

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

112122211100010 is a wasteful number, since it uses less digits than its factorization.

112122211100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112122211100010 its reverse (10001112221211), we get a palindrome (122123323321221).

The spelling of 112122211100010 in words is "one hundred twelve trillion, one hundred twenty-two billion, two hundred eleven million, one hundred thousand, ten".