10113120101027 has 2 divisors, whose sum is σ = 10113120101028. Its totient is φ = 10113120101026.

The previous prime is 10113120101009. The next prime is 10113120101041. The reversal of 10113120101027 is 72010102131101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10113120101027 - 2¹⁴ = 10113120084643 is a prime.

It is a super-3 number, since 3×10113120101027³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10113120181027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056560050513 + 5056560050514.

It is an arithmetic number, because the mean of its divisors is an integer number (5056560050514).

Almost surely, 2^{10113120101027} is an apocalyptic number.

10113120101027 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113120101027 is an equidigital number, since it uses as much as digits as its factorization.

10113120101027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 10113120101027 its reverse (72010102131101), we get a palindrome (82123222232128).

The spelling of 10113120101027 in words is "ten trillion, one hundred thirteen billion, one hundred twenty million, one hundred one thousand, twenty-seven".