909990100112033 has 2 divisors, whose sum is σ = 909990100112034. Its totient is φ = 909990100112032.

The previous prime is 909990100111949. The next prime is 909990100112113. The reversal of 909990100112033 is 330211001099909.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 600807357322384 + 309182742789649 = 24511372^2 + 17583593^2 .

It is a cyclic number.

It is not a de Polignac number, because 909990100112033 - 2¹⁰ = 909990100111009 is a prime.

It is not a weakly prime, because it can be changed into another prime (909990100112633) 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, 454995050056016 + 454995050056017.

It is an arithmetic number, because the mean of its divisors is an integer number (454995050056017).

Almost surely, 2^{909990100112033} is an apocalyptic number.

It is an amenable number.

909990100112033 is a deficient number, since it is larger than the sum of its proper divisors (1).

909990100112033 is an equidigital number, since it uses as much as digits as its factorization.

909990100112033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 118098, while the sum is 47.

The spelling of 909990100112033 in words is "nine hundred nine trillion, nine hundred ninety billion, one hundred million, one hundred twelve thousand, thirty-three".