2012100201 has 12 divisors (see below), whose sum is σ = 2923169028. Its totient is φ = 1333645344.

The previous prime is 2012100179. The next prime is 2012100203. The reversal of 2012100201 is 1020012102.

It can be written as a sum of positive squares in 2 ways, for example, as 1037162025 + 974938176 = 32205^2 + 31224^2 .

It is not a de Polignac number, because 2012100201 - 2⁶ = 2012100137 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2012100203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 644590 + ... + 647703.

It is an arithmetic number, because the mean of its divisors is an integer number (243597419).

Almost surely, 2^2012100201 is an apocalyptic number.

It is an amenable number.

2012100201 is a deficient number, since it is larger than the sum of its proper divisors (911068827).

2012100201 is a wasteful number, since it uses less digits than its factorization.

2012100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292472 (or 1292469 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2012100201 is about 44856.4399055476. The cubic root of 2012100201 is about 1262.4568258412.

Adding to 2012100201 its reverse (1020012102), we get a palindrome (3032112303).

The spelling of 2012100201 in words is "two billion, twelve million, one hundred thousand, two hundred one".