112122002220100 has 36 divisors (see below), whose sum is σ = 257616788634324. Its totient is φ = 42210636129280.

The previous prime is 112122002220097. The next prime is 112122002220119. The reversal of 112122002220100 is 1022200221211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6224895260676 + 105897106959424 = 2494974^2 + 10290632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32977057777 + ... + 32977061176.

It is an arithmetic number, because the mean of its divisors is an integer number (7156021906509).

Almost surely, 2^{112122002220100} is an apocalyptic number.

112122002220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122002220100 is an abundant number, since it is smaller than the sum of its proper divisors (145494786414224).

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

112122002220100 is a wasteful number, since it uses less digits than its factorization.

112122002220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65954118984 (or 65954118977 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112122002220100 its reverse (1022200221211), we get a palindrome (113144202441311).

The spelling of 112122002220100 in words is "one hundred twelve trillion, one hundred twenty-two billion, two million, two hundred twenty thousand, one hundred".