1010111100967 has 2 divisors, whose sum is σ = 1010111100968. Its totient is φ = 1010111100966.

The previous prime is 1010111100949. The next prime is 1010111101049. The reversal of 1010111100967 is 7690011110101.

1010111100967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1010111100967 - 2³⁹ = 460355287079 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010111160967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055550483 + 505055550484.

It is an arithmetic number, because the mean of its divisors is an integer number (505055550484).

Almost surely, 2^{1010111100967} is an apocalyptic number.

1010111100967 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111100967 is an equidigital number, since it uses as much as digits as its factorization.

1010111100967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 28.

The spelling of 1010111100967 in words is "one trillion, ten billion, one hundred eleven million, one hundred thousand, nine hundred sixty-seven".