10033406820127 has 2 divisors, whose sum is σ = 10033406820128. Its totient is φ = 10033406820126.

The previous prime is 10033406820083. The next prime is 10033406820191. The reversal of 10033406820127 is 72102860433001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10033406820127 - 2³¹ = 10031259336479 is a prime.

It is a super-2 number, since 2×10033406820127² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10033406824127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016703410063 + 5016703410064.

It is an arithmetic number, because the mean of its divisors is an integer number (5016703410064).

Almost surely, 2^{10033406820127} is an apocalyptic number.

10033406820127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033406820127 is an equidigital number, since it uses as much as digits as its factorization.

10033406820127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 10033406820127 in words is "ten trillion, thirty-three billion, four hundred six million, eight hundred twenty thousand, one hundred twenty-seven".