2112010201001 has 2 divisors, whose sum is σ = 2112010201002. Its totient is φ = 2112010201000.

The previous prime is 2112010200991. The next prime is 2112010201019. The reversal of 2112010201001 is 1001020102112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1290632323600 + 821377877401 = 1136060^2 + 906299^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112010201001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2112010201031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056005100500 + 1056005100501.

It is an arithmetic number, because the mean of its divisors is an integer number (1056005100501).

Almost surely, 2^{2112010201001} is an apocalyptic number.

It is an amenable number.

2112010201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112010201001 is an equidigital number, since it uses as much as digits as its factorization.

2112010201001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2112010201001 its reverse (1001020102112), we get a palindrome (3113030303113).

The spelling of 2112010201001 in words is "two trillion, one hundred twelve billion, ten million, two hundred one thousand, one".