10033111112201 has 2 divisors, whose sum is σ = 10033111112202. Its totient is φ = 10033111112200.

The previous prime is 10033111112131. The next prime is 10033111112203. The reversal of 10033111112201 is 10221111133001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7682099155600 + 2351011956601 = 2771660^2 + 1533301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10033111112201 is a prime.

It is a super-2 number, since 2×10033111112201² (a number of 27 digits) contains 22 as substring.

Together with 10033111112203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10033111112201.

It is not a weakly prime, because it can be changed into another prime (10033111112203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016555556100 + 5016555556101.

It is an arithmetic number, because the mean of its divisors is an integer number (5016555556101).

Almost surely, 2^{10033111112201} is an apocalyptic number.

It is an amenable number.

10033111112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033111112201 is an equidigital number, since it uses as much as digits as its factorization.

10033111112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10033111112201 its reverse (10221111133001), we get a palindrome (20254222245202).

The spelling of 10033111112201 in words is "ten trillion, thirty-three billion, one hundred eleven million, one hundred twelve thousand, two hundred one".