1000211112401 has 2 divisors, whose sum is σ = 1000211112402. Its totient is φ = 1000211112400.

The previous prime is 1000211112347. The next prime is 1000211112437. The reversal of 1000211112401 is 1042111120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 916806250000 + 83404862401 = 957500^2 + 288799^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000211112401 - 2¹⁰ = 1000211111377 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1000211112491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500105556200 + 500105556201.

It is an arithmetic number, because the mean of its divisors is an integer number (500105556201).

Almost surely, 2^{1000211112401} is an apocalyptic number.

It is an amenable number.

1000211112401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000211112401 is an equidigital number, since it uses as much as digits as its factorization.

1000211112401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1000211112401 its reverse (1042111120001), we get a palindrome (2042322232402).

The spelling of 1000211112401 in words is "one trillion, two hundred eleven million, one hundred twelve thousand, four hundred one".