10011012112201 has 2 divisors, whose sum is σ = 10011012112202. Its totient is φ = 10011012112200.

The previous prime is 10011012112193. The next prime is 10011012112223. The reversal of 10011012112201 is 10221121011001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7583959702201 + 2427052410000 = 2753899^2 + 1557900^2 .

It is an emirp because it is prime and its reverse (10221121011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011012112201 - 2³ = 10011012112193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011012112501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005506056100 + 5005506056101.

It is an arithmetic number, because the mean of its divisors is an integer number (5005506056101).

Almost surely, 2^{10011012112201} is an apocalyptic number.

It is an amenable number.

10011012112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011012112201 is an equidigital number, since it uses as much as digits as its factorization.

10011012112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10011012112201 its reverse (10221121011001), we get a palindrome (20232133123202).

The spelling of 10011012112201 in words is "ten trillion, eleven billion, twelve million, one hundred twelve thousand, two hundred one".