112120221112100 has 18 divisors (see below), whose sum is σ = 243300879813474. Its totient is φ = 44848088444800.

The previous prime is 112120221112073. The next prime is 112120221112171. The reversal of 112120221112100 is 1211122021211.

It can be written as a sum of positive squares in 3 ways, for example, as 6656317440256 + 105463903671844 = 2579984^2 + 10269562^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 560601105461 + ... + 560601105660.

It is an arithmetic number, because the mean of its divisors is an integer number (13516715545193).

Almost surely, 2^{112120221112100} is an apocalyptic number.

112120221112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112120221112100 is an abundant number, since it is smaller than the sum of its proper divisors (131180658701374).

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

112120221112100 is a wasteful number, since it uses less digits than its factorization.

112120221112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121202211135 (or 1121202211128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112120221112100 its reverse (1211122021211), we get a palindrome (113331343133311).

The spelling of 112120221112100 in words is "one hundred twelve trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twelve thousand, one hundred".