11106016101 has 12 divisors (see below), whose sum is σ = 16191950112. Its totient is φ = 7334813736.

The previous prime is 11106016079. The next prime is 11106016121. The reversal of 11106016101 is 10161060111.

11106016101 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 601 + 61 + 0 + 1 = 666.

It is not a de Polignac number, because 11106016101 - 2¹⁰ = 11106015077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106016121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5765401 + ... + 5767326.

It is an arithmetic number, because the mean of its divisors is an integer number (1349329176).

Almost surely, 2^11106016101 is an apocalyptic number.

It is an amenable number.

11106016101 is a deficient number, since it is larger than the sum of its proper divisors (5085934011).

11106016101 is a wasteful number, since it uses less digits than its factorization.

11106016101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532840 (or 11532837 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11106016101 its reverse (10161060111), we get a palindrome (21267076212).

The spelling of 11106016101 in words is "eleven billion, one hundred six million, sixteen thousand, one hundred one".