100101120199967 has 2 divisors, whose sum is σ = 100101120199968. Its totient is φ = 100101120199966.

The previous prime is 100101120199909. The next prime is 100101120199991. The reversal of 100101120199967 is 769991021101001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100101120199967 - 2¹⁰ = 100101120198943 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101120199867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050560099983 + 50050560099984.

It is an arithmetic number, because the mean of its divisors is an integer number (50050560099984).

Almost surely, 2^{100101120199967} is an apocalyptic number.

100101120199967 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101120199967 is an equidigital number, since it uses as much as digits as its factorization.

100101120199967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 47.

The spelling of 100101120199967 in words is "one hundred trillion, one hundred one billion, one hundred twenty million, one hundred ninety-nine thousand, nine hundred sixty-seven".