112122120100 has 36 divisors (see below), whose sum is σ = 247895672724. Its totient is φ = 44002641280.

The previous prime is 112122120091. The next prime is 112122120107. The reversal of 112122120100 is 1021221211.

It can be written as a sum of positive squares in 6 ways, for example, as 14794343424 + 97327776676 = 121632^2 + 311974^2 .

It is not an unprimeable number, because it can be changed into a prime (112122120107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10572259 + ... + 10582858.

It is an arithmetic number, because the mean of its divisors is an integer number (6885990909).

Almost surely, 2^112122120100 is an apocalyptic number.

112122120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122120100 is an abundant number, since it is smaller than the sum of its proper divisors (135773552624).

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

112122120100 is a wasteful number, since it uses less digits than its factorization.

112122120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21155184 (or 21155177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112122120100 its reverse (1021221211), we get a palindrome (113143341311).

It can be divided in two parts, 11212 and 2120100, that added together give a palindrome (2131312).

The spelling of 112122120100 in words is "one hundred twelve billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".