10002110211001 has 2 divisors, whose sum is σ = 10002110211002. Its totient is φ = 10002110211000.

The previous prime is 10002110210993. The next prime is 10002110211007. The reversal of 10002110211001 is 10011201120001.

10002110211001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8422503644025 + 1579606566976 = 2902155^2 + 1256824^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002110211001 - 2³ = 10002110210993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002110211007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001055105500 + 5001055105501.

It is an arithmetic number, because the mean of its divisors is an integer number (5001055105501).

Almost surely, 2^{10002110211001} is an apocalyptic number.

It is an amenable number.

10002110211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002110211001 is an equidigital number, since it uses as much as digits as its factorization.

10002110211001 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 10.

Adding to 10002110211001 its reverse (10011201120001), we get a palindrome (20013311331002).

The spelling of 10002110211001 in words is "ten trillion, two billion, one hundred ten million, two hundred eleven thousand, one".