10011102101027 has 2 divisors, whose sum is σ = 10011102101028. Its totient is φ = 10011102101026.

The previous prime is 10011102101003. The next prime is 10011102101051. The reversal of 10011102101027 is 72010120111001.

10011102101027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10011102101003) and next prime (10011102101051).

It is a cyclic number.

It is not a de Polignac number, because 10011102101027 - 2²² = 10011097906723 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011102100996 and 10011102101014.

It is not a weakly prime, because it can be changed into another prime (10011102101087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005551050513 + 5005551050514.

It is an arithmetic number, because the mean of its divisors is an integer number (5005551050514).

Almost surely, 2^{10011102101027} is an apocalyptic number.

10011102101027 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011102101027 is an equidigital number, since it uses as much as digits as its factorization.

10011102101027 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 10011102101027 its reverse (72010120111001), we get a palindrome (82021222212028).

The spelling of 10011102101027 in words is "ten trillion, eleven billion, one hundred two million, one hundred one thousand, twenty-seven".