10021211101001 has 2 divisors, whose sum is σ = 10021211101002. Its totient is φ = 10021211101000.

The previous prime is 10021211100983. The next prime is 10021211101003. The reversal of 10021211101001 is 10010111212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5155392761401 + 4865818339600 = 2270549^2 + 2205860^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021211101001 - 2³⁸ = 9746333194057 is a prime.

Together with 10021211101003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10021211101003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010605550500 + 5010605550501.

It is an arithmetic number, because the mean of its divisors is an integer number (5010605550501).

Almost surely, 2^{10021211101001} is an apocalyptic number.

It is an amenable number.

10021211101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021211101001 is an equidigital number, since it uses as much as digits as its factorization.

10021211101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10021211101001 its reverse (10010111212001), we get a palindrome (20031322313002).

The spelling of 10021211101001 in words is "ten trillion, twenty-one billion, two hundred eleven million, one hundred one thousand, one".