2121102112 has 36 divisors (see below), whose sum is σ = 4227739110. Its totient is φ = 1047419648.

The previous prime is 2121102103. The next prime is 2121102131. The reversal of 2121102112 is 2112011212.

It can be written as a sum of positive squares in only one way, i.e., 2013855376 + 107246736 = 44876^2 + 10356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2121102092 and 2121102101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2457393 + ... + 2458255.

Almost surely, 2^2121102112 is an apocalyptic number.

It is an amenable number.

2121102112 is a deficient number, since it is larger than the sum of its proper divisors (2106636998).

2121102112 is an frugal number, since it uses more digits than its factorization.

2121102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 954 counting only the distinct ones).

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

The square root of 2121102112 is about 46055.4243493641. The cubic root of 2121102112 is about 1284.8542304631.

Adding to 2121102112 its reverse (2112011212), we get a palindrome (4233113324).

The spelling of 2121102112 in words is "two billion, one hundred twenty-one million, one hundred two thousand, one hundred twelve".