100101120199867 has 2 divisors, whose sum is σ = 100101120199868. Its totient is φ = 100101120199866.

The previous prime is 100101120199793. The next prime is 100101120199879. The reversal of 100101120199867 is 768991021101001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101120199867 is a prime.

It is a super-2 number, since 2×100101120199867² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100101120199967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050560099933 + 50050560099934.

It is an arithmetic number, because the mean of its divisors is an integer number (50050560099934).

Almost surely, 2^{100101120199867} is an apocalyptic number.

100101120199867 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101120199867 is an equidigital number, since it uses as much as digits as its factorization.

100101120199867 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 46.

The spelling of 100101120199867 in words is "one hundred trillion, one hundred one billion, one hundred twenty million, one hundred ninety-nine thousand, eight hundred sixty-seven".