1010010100997 has 2 divisors, whose sum is σ = 1010010100998. Its totient is φ = 1010010100996.

The previous prime is 1010010100963. The next prime is 1010010101029. The reversal of 1010010100997 is 7990010100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 975731059681 + 34279041316 = 987791^2 + 185146^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010010100997 - 2²⁰ = 1010009052421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010010100937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005050498 + 505005050499.

It is an arithmetic number, because the mean of its divisors is an integer number (505005050499).

Almost surely, 2^{1010010100997} is an apocalyptic number.

It is an amenable number.

1010010100997 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010010100997 is an equidigital number, since it uses as much as digits as its factorization.

1010010100997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 29.

The spelling of 1010010100997 in words is "one trillion, ten billion, ten million, one hundred thousand, nine hundred ninety-seven".