100111101101027 has 2 divisors, whose sum is σ = 100111101101028. Its totient is φ = 100111101101026.

The previous prime is 100111101100991. The next prime is 100111101101059. The reversal of 100111101101027 is 720101101111001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111101101027 - 2³² = 100106806133731 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111101100996 and 100111101101014.

It is not a weakly prime, because it can be changed into another prime (100111101101087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550550513 + 50055550550514.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550550514).

Almost surely, 2^{100111101101027} is an apocalyptic number.

100111101101027 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111101101027 is an equidigital number, since it uses as much as digits as its factorization.

100111101101027 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 17.

Adding to 100111101101027 its reverse (720101101111001), we get a palindrome (820212202212028).

The spelling of 100111101101027 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, twenty-seven".