2112101001 has 20 divisors (see below), whose sum is σ = 3263914500. Its totient is φ = 1359511776.

The previous prime is 2112100997. The next prime is 2112101011. The reversal of 2112101001 is 1001012112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 760435776 + 1351665225 = 27576^2 + 36765^2 .

It is not a de Polignac number, because 2112101001 - 2² = 2112100997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2112101011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 447226 + ... + 451923.

It is an arithmetic number, because the mean of its divisors is an integer number (163195725).

Almost surely, 2^2112101001 is an apocalyptic number.

It is an amenable number.

2112101001 is a deficient number, since it is larger than the sum of its proper divisors (1151813499).

2112101001 is an equidigital number, since it uses as much as digits as its factorization.

2112101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899190 (or 899181 counting only the distinct ones).

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

The square root of 2112101001 is about 45957.6000352499. The cubic root of 2112101001 is about 1283.0341839561.

Adding to 2112101001 its reverse (1001012112), we get a palindrome (3113113113).

Subtracting from 2112101001 its reverse (1001012112), we obtain a square (1111088889 = 33333²).

The spelling of 2112101001 in words is "two billion, one hundred twelve million, one hundred one thousand, one".