10000210110001 has 2 divisors, whose sum is σ = 10000210110002. Its totient is φ = 10000210110000.

The previous prime is 10000210109951. The next prime is 10000210110203. The reversal of 10000210110001 is 10001101200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8381719814400 + 1618490295601 = 2895120^2 + 1272199^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000210110001 - 2¹⁵ = 10000210077233 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000210110701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000105055000 + 5000105055001.

It is an arithmetic number, because the mean of its divisors is an integer number (5000105055001).

Almost surely, 2^{10000210110001} is an apocalyptic number.

It is an amenable number.

10000210110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000210110001 is an equidigital number, since it uses as much as digits as its factorization.

10000210110001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10000210110001 its reverse (10001101200001), we get a palindrome (20001311310002).

The spelling of 10000210110001 in words is "ten trillion, two hundred ten million, one hundred ten thousand, one".