100110101027 has 2 divisors, whose sum is σ = 100110101028. Its totient is φ = 100110101026.

The previous prime is 100110101011. The next prime is 100110101029. The reversal of 100110101027 is 720101011001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100110101027 - 2⁴ = 100110101011 is a prime.

It is a super-2 number, since 2×100110101027² (a number of 23 digits) contains 22 as substring.

Together with 100110101029, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100110101029) 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, 50055050513 + 50055050514.

It is an arithmetic number, because the mean of its divisors is an integer number (50055050514).

Almost surely, 2^100110101027 is an apocalyptic number.

100110101027 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110101027 is an equidigital number, since it uses as much as digits as its factorization.

100110101027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 100110101027 its reverse (720101011001), we get a palindrome (820211112028).

The spelling of 100110101027 in words is "one hundred billion, one hundred ten million, one hundred one thousand, twenty-seven".