2101001112 has 64 divisors (see below), whose sum is σ = 6669849600. Its totient is φ = 600285600.

The previous prime is 2101001093. The next prime is 2101001131. The reversal of 2101001112 is 2111001012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2101001093) and next prime (2101001131).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2101001094 and 2101001103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693264 + ... + 696287.

It is an arithmetic number, because the mean of its divisors is an integer number (104216400).

Almost surely, 2^2101001112 is an apocalyptic number.

It is an amenable number.

2101001112 is an abundant number, since it is smaller than the sum of its proper divisors (4568848488).

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

2101001112 is a wasteful number, since it uses less digits than its factorization.

2101001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389573 (or 1389563 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2101001112 is about 45836.6786754887. The cubic root of 2101001112 is about 1280.7826252262.

Adding to 2101001112 its reverse (2111001012), we get a palindrome (4212002124).

The spelling of 2101001112 in words is "two billion, one hundred one million, one thousand, one hundred twelve".