10212011112001 has 2 divisors, whose sum is σ = 10212011112002. Its totient is φ = 10212011112000.

The previous prime is 10212011111999. The next prime is 10212011112029. The reversal of 10212011112001 is 10021111021201.

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., 6025178981376 + 4186832130625 = 2454624^2 + 2046175^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212011112001 - 2¹ = 10212011111999 is a prime.

Together with 10212011111999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10212011112101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106005556000 + 5106005556001.

It is an arithmetic number, because the mean of its divisors is an integer number (5106005556001).

Almost surely, 2^{10212011112001} is an apocalyptic number.

It is an amenable number.

10212011112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212011112001 is an equidigital number, since it uses as much as digits as its factorization.

10212011112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10212011112001 its reverse (10021111021201), we get a palindrome (20233122133202).

The spelling of 10212011112001 in words is "ten trillion, two hundred twelve billion, eleven million, one hundred twelve thousand, one".