10211419827 has 18 divisors (see below), whose sum is σ = 17157964668. Its totient is φ = 5835096792.

The previous prime is 10211419781. The next prime is 10211419849. The reversal of 10211419827 is 72891411201.

10211419827 is a `hidden beast` number, since 1 + 0 + 211 + 419 + 8 + 27 = 666.

10211419827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-10211419827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211419791 and 10211419800.

It is not an unprimeable number, because it can be changed into a prime (10211419627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11577133 + ... + 11578014.

Almost surely, 2^10211419827 is an apocalyptic number.

10211419827 is a deficient number, since it is larger than the sum of its proper divisors (6946544841).

10211419827 is a wasteful number, since it uses less digits than its factorization.

10211419827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23155167 (or 23155157 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 10211419827 in words is "ten billion, two hundred eleven million, four hundred nineteen thousand, eight hundred twenty-seven".