10000110212201 has 2 divisors, whose sum is σ = 10000110212202. Its totient is φ = 10000110212200.

The previous prime is 10000110212177. The next prime is 10000110212219. The reversal of 10000110212201 is 10221201100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6049258306576 + 3950851905625 = 2459524^2 + 1987675^2 .

It is an emirp because it is prime and its reverse (10221201100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000110212201 - 2⁶ = 10000110212137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000110212501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000055106100 + 5000055106101.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055106101).

Almost surely, 2^{10000110212201} is an apocalyptic number.

It is an amenable number.

10000110212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000110212201 is an equidigital number, since it uses as much as digits as its factorization.

10000110212201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10000110212201 its reverse (10221201100001), we get a palindrome (20221311312202).

The spelling of 10000110212201 in words is "ten trillion, one hundred ten million, two hundred twelve thousand, two hundred one".