2112100112122 has 128 divisors (see below), whose sum is σ = 4577800002048. Its totient is φ = 703193702400.

The previous prime is 2112100112119. The next prime is 2112100112123. The reversal of 2112100112122 is 2212110012112.

It is a junction number, because it is equal to n+sod(n) for n = 2112100112096 and 2112100112105.

It is not an unprimeable number, because it can be changed into a prime (2112100112123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1567398 + ... + 2584750.

It is an arithmetic number, because the mean of its divisors is an integer number (35764062516).

Almost surely, 2^{2112100112122} is an apocalyptic number.

2112100112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2112100112122 is an abundant number, since it is smaller than the sum of its proper divisors (2465699889926).

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

2112100112122 is a wasteful number, since it uses less digits than its factorization.

2112100112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017464.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112100112122 its reverse (2212110012112), we get a palindrome (4324210124234).

It can be divided in two parts, 2112100 and 112122, that added together give a palindrome (2224222).

The spelling of 2112100112122 in words is "two trillion, one hundred twelve billion, one hundred million, one hundred twelve thousand, one hundred twenty-two".