2100412121 has 2 divisors, whose sum is σ = 2100412122. Its totient is φ = 2100412120.

The previous prime is 2100412109. The next prime is 2100412151. The reversal of 2100412121 is 1212140012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1469648896 + 630763225 = 38336^2 + 25115^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100412121 - 2¹⁸ = 2100149977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100412096 and 2100412105.

It is not a weakly prime, because it can be changed into another prime (2100412151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050206060 + 1050206061.

It is an arithmetic number, because the mean of its divisors is an integer number (1050206061).

Almost surely, 2^2100412121 is an apocalyptic number.

It is an amenable number.

2100412121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100412121 is an equidigital number, since it uses as much as digits as its factorization.

2100412121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2100412121 is about 45830.2533377244. The cubic root of 2100412121 is about 1280.6629299155.

Adding to 2100412121 its reverse (1212140012), we get a palindrome (3312552133).

The spelling of 2100412121 in words is "two billion, one hundred million, four hundred twelve thousand, one hundred twenty-one".