2112101112 has 64 divisors (see below), whose sum is σ = 5767868160. Its totient is φ = 639187200.

The previous prime is 2112101107. The next prime is 2112101119. The reversal of 2112101112 is 2111012112.

It is a super-2 number, since 2×2112101112² = 8921942214623273088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112101119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212412 + ... + 222132.

It is an arithmetic number, because the mean of its divisors is an integer number (90122940).

Almost surely, 2^2112101112 is an apocalyptic number.

2112101112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2112101112 is an abundant number, since it is smaller than the sum of its proper divisors (3655767048).

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

2112101112 is a wasteful number, since it uses less digits than its factorization.

2112101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10564 (or 10560 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2112101112 is about 45957.6012428847. The cubic root of 2112101112 is about 1283.0342064324.

Adding to 2112101112 its reverse (2111012112), we get a palindrome (4223113224).

The spelling of 2112101112 in words is "two billion, one hundred twelve million, one hundred one thousand, one hundred twelve".