100100010001027 has 2 divisors, whose sum is σ = 100100010001028. Its totient is φ = 100100010001026.

The previous prime is 100100010001007. The next prime is 100100010001037. The reversal of 100100010001027 is 720100010001001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100010001027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100010000998 and 100100010001016.

It is not a weakly prime, because it can be changed into another prime (100100010001007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005000513 + 50050005000514.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005000514).

Almost surely, 2^{100100010001027} is an apocalyptic number.

100100010001027 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100010001027 is an equidigital number, since it uses as much as digits as its factorization.

100100010001027 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 13.

Adding to 100100010001027 its reverse (720100010001001), we get a palindrome (820200020002028).

The spelling of 100100010001027 in words is "one hundred trillion, one hundred billion, ten million, one thousand, twenty-seven".