2112100112 has 20 divisors (see below), whose sum is σ = 4159281036. Its totient is φ = 1038737280.

The previous prime is 2112100103. The next prime is 2112100127. The reversal of 2112100112 is 2110012112.

It can be written as a sum of positive squares in 2 ways, for example, as 1226680576 + 885419536 = 35024^2 + 29756^2 .

It is a super-2 number, since 2×2112100112² = 8921933766220825088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112100093 and 2112100102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1081043 + ... + 1082994.

Almost surely, 2^2112100112 is an apocalyptic number.

It is an amenable number.

2112100112 is a deficient number, since it is larger than the sum of its proper divisors (2047180924).

2112100112 is a wasteful number, since it uses less digits than its factorization.

2112100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164106 (or 2164100 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2112100112 is about 45957.5903632904. The cubic root of 2112100112 is about 1283.0340039430.

Adding to 2112100112 its reverse (2110012112), we get a palindrome (4222112224).

The spelling of 2112100112 in words is "two billion, one hundred twelve million, one hundred thousand, one hundred twelve".