2112312001 has 2 divisors, whose sum is σ = 2112312002. Its totient is φ = 2112312000.

The previous prime is 2112311963. The next prime is 2112312017. The reversal of 2112312001 is 1002132112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1914937600 + 197374401 = 43760^2 + 14049^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112312001 - 2¹⁵ = 2112279233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2112312031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056156000 + 1056156001.

It is an arithmetic number, because the mean of its divisors is an integer number (1056156001).

Almost surely, 2^2112312001 is an apocalyptic number.

It is an amenable number.

2112312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112312001 is an equidigital number, since it uses as much as digits as its factorization.

2112312001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2112312001 is about 45959.8955721181. The cubic root of 2112312001 is about 1283.0769077965.

Adding to 2112312001 its reverse (1002132112), we get a palindrome (3114444113).

It can be divided in two parts, 21123 and 12001, that added together give a square (33124 = 182²).

The spelling of 2112312001 in words is "two billion, one hundred twelve million, three hundred twelve thousand, one".