2101112008 has 64 divisors (see below), whose sum is σ = 4385352960. Its totient is φ = 938674176.

The previous prime is 2101111993. The next prime is 2101112023. The reversal of 2101112008 is 8002111012.

It is an interprime number because it is at equal distance from previous prime (2101111993) and next prime (2101112023).

It is a junction number, because it is equal to n+sod(n) for n = 2101111982 and 2101112000.

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 15 ways as a sum of consecutive naturals, for example, 426085 + ... + 430987.

It is an arithmetic number, because the mean of its divisors is an integer number (68521140).

Almost surely, 2^2101112008 is an apocalyptic number.

It is an amenable number.

2101112008 is an abundant number, since it is smaller than the sum of its proper divisors (2284240952).

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

2101112008 is a wasteful number, since it uses less digits than its factorization.

2101112008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5082 counting only the distinct ones).

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

The square root of 2101112008 is about 45837.8883457779. Note that the first 3 decimals coincide. The cubic root of 2101112008 is about 1280.8051591142.

The spelling of 2101112008 in words is "two billion, one hundred one million, one hundred twelve thousand, eight".