101011011000997 has 2 divisors, whose sum is σ = 101011011000998. Its totient is φ = 101011011000996.

The previous prime is 101011011000983. The next prime is 101011011001037. The reversal of 101011011000997 is 799000110110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100970322463201 + 40688537796 = 10048399^2 + 201714^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011011000997 - 2¹¹ = 101011010998949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011011000197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505505500498 + 50505505500499.

It is an arithmetic number, because the mean of its divisors is an integer number (50505505500499).

Almost surely, 2^{101011011000997} is an apocalyptic number.

It is an amenable number.

101011011000997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011011000997 is an equidigital number, since it uses as much as digits as its factorization.

101011011000997 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 31.

The spelling of 101011011000997 in words is "one hundred one trillion, eleven billion, eleven million, nine hundred ninety-seven", and thus it is an aban number.