10100111009827 has 2 divisors, whose sum is σ = 10100111009828. Its totient is φ = 10100111009826.

The previous prime is 10100111009783. The next prime is 10100111009837. The reversal of 10100111009827 is 72890011100101.

It is a happy number.

10100111009827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100111009827 - 2¹⁹ = 10100110485539 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100111009837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055504913 + 5050055504914.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055504914).

Almost surely, 2^{10100111009827} is an apocalyptic number.

10100111009827 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111009827 is an equidigital number, since it uses as much as digits as its factorization.

10100111009827 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 31.

Adding to 10100111009827 its reverse (72890011100101), we get a palindrome (82990122109928).

The spelling of 10100111009827 in words is "ten trillion, one hundred billion, one hundred eleven million, nine thousand, eight hundred twenty-seven".