10101028026997 has 2 divisors, whose sum is σ = 10101028026998. Its totient is φ = 10101028026996.

The previous prime is 10101028026979. The next prime is 10101028027001. The reversal of 10101028026997 is 79962082010101.

Together with previous prime (10101028026979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8657488254321 + 1443539772676 = 2942361^2 + 1201474^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101028026997 - 2²⁷ = 10100893809269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101028026497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050514013498 + 5050514013499.

It is an arithmetic number, because the mean of its divisors is an integer number (5050514013499).

Almost surely, 2^{10101028026997} is an apocalyptic number.

It is an amenable number.

10101028026997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101028026997 is an equidigital number, since it uses as much as digits as its factorization.

10101028026997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 46.

The spelling of 10101028026997 in words is "ten trillion, one hundred one billion, twenty-eight million, twenty-six thousand, nine hundred ninety-seven".