100561216127 has 2 divisors, whose sum is σ = 100561216128. Its totient is φ = 100561216126.

The previous prime is 100561216123. The next prime is 100561216177. The reversal of 100561216127 is 721612165001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100561216127 - 2² = 100561216123 is a prime.

It is a super-2 number, since 2×100561216127² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100561216093 and 100561216102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100561216123) 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, 50280608063 + 50280608064.

It is an arithmetic number, because the mean of its divisors is an integer number (50280608064).

Almost surely, 2^100561216127 is an apocalyptic number.

100561216127 is a deficient number, since it is larger than the sum of its proper divisors (1).

100561216127 is an equidigital number, since it uses as much as digits as its factorization.

100561216127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 100561216127 in words is "one hundred billion, five hundred sixty-one million, two hundred sixteen thousand, one hundred twenty-seven".