2101101112027 has 2 divisors, whose sum is σ = 2101101112028. Its totient is φ = 2101101112026.

The previous prime is 2101101111937. The next prime is 2101101112057. The reversal of 2101101112027 is 7202111011012.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2101101112027 - 2¹⁹ = 2101100587739 is a prime.

It is a super-2 number, since 2×2101101112027² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101101111995 and 2101101112013.

It is not a weakly prime, because it can be changed into another prime (2101101112057) 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, 1050550556013 + 1050550556014.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550556014).

Almost surely, 2^{2101101112027} is an apocalyptic number.

2101101112027 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101101112027 is an equidigital number, since it uses as much as digits as its factorization.

2101101112027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 2101101112027 its reverse (7202111011012), we get a palindrome (9303212123039).

The spelling of 2101101112027 in words is "two trillion, one hundred one billion, one hundred one million, one hundred twelve thousand, twenty-seven".