1102101009967 has 2 divisors, whose sum is σ = 1102101009968. Its totient is φ = 1102101009966.

The previous prime is 1102101009913. The next prime is 1102101010019. The reversal of 1102101009967 is 7699001012011.

It is a strong prime.

It is an emirp because it is prime and its reverse (7699001012011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1102101009967 is a prime.

It is a super-4 number, since 4×1102101009967⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1102101009767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551050504983 + 551050504984.

It is an arithmetic number, because the mean of its divisors is an integer number (551050504984).

Almost surely, 2^{1102101009967} is an apocalyptic number.

1102101009967 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102101009967 is an equidigital number, since it uses as much as digits as its factorization.

1102101009967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 37.

The spelling of 1102101009967 in words is "one trillion, one hundred two billion, one hundred one million, nine thousand, nine hundred sixty-seven".