10000211028001 has 2 divisors, whose sum is σ = 10000211028002. Its totient is φ = 10000211028000.

The previous prime is 10000211027999. The next prime is 10000211028083. The reversal of 10000211028001 is 10082011200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9999856685025 + 354342976 = 3162255^2 + 18824^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000211028001 - 2¹ = 10000211027999 is a prime.

Together with 10000211027999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10000211028601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000105514000 + 5000105514001.

It is an arithmetic number, because the mean of its divisors is an integer number (5000105514001).

Almost surely, 2^{10000211028001} is an apocalyptic number.

It is an amenable number.

10000211028001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000211028001 is an equidigital number, since it uses as much as digits as its factorization.

10000211028001 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 16.

Adding to 10000211028001 its reverse (10082011200001), we get a palindrome (20082222228002).

The spelling of 10000211028001 in words is "ten trillion, two hundred eleven million, twenty-eight thousand, one".