11427825101 has 32 divisors (see below), whose sum is σ = 15009899520. Its totient is φ = 8429184000.

The previous prime is 11427825067. The next prime is 11427825113. The reversal of 11427825101 is 10152872411.

11427825101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11427825101 - 2¹⁰ = 11427824077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11427825131) 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 31 ways as a sum of consecutive naturals, for example, 2377901 + ... + 2382701.

It is an arithmetic number, because the mean of its divisors is an integer number (469059360).

Almost surely, 2^11427825101 is an apocalyptic number.

11427825101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11427825101 is a deficient number, since it is larger than the sum of its proper divisors (3582074419).

11427825101 is a wasteful number, since it uses less digits than its factorization.

11427825101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465.

The product of its (nonzero) digits is 4480, while the sum is 32.

The spelling of 11427825101 in words is "eleven billion, four hundred twenty-seven million, eight hundred twenty-five thousand, one hundred one".