100101111983627 has 2 divisors, whose sum is σ = 100101111983628. Its totient is φ = 100101111983626.

The previous prime is 100101111983581. The next prime is 100101111983669. The reversal of 100101111983627 is 726389111101001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100101111983627 - 2⁴⁴ = 82508925939211 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101111983927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050555991813 + 50050555991814.

It is an arithmetic number, because the mean of its divisors is an integer number (50050555991814).

Almost surely, 2^{100101111983627} is an apocalyptic number.

100101111983627 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101111983627 is an equidigital number, since it uses as much as digits as its factorization.

100101111983627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 41.

The spelling of 100101111983627 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, nine hundred eighty-three thousand, six hundred twenty-seven".