11006677101 has 32 divisors (see below), whose sum is σ = 17093894400. Its totient is φ = 6169996800.

The previous prime is 11006677063. The next prime is 11006677159. The reversal of 11006677101 is 10177660011.

It is not a de Polignac number, because 11006677101 - 2²² = 11002482797 is a prime.

It is a super-2 number, since 2×11006677101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006677001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207385 + ... + 254993.

It is an arithmetic number, because the mean of its divisors is an integer number (534184200).

Almost surely, 2^11006677101 is an apocalyptic number.

It is an amenable number.

11006677101 is a deficient number, since it is larger than the sum of its proper divisors (6087217299).

11006677101 is a wasteful number, since it uses less digits than its factorization.

11006677101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47829.

The product of its (nonzero) digits is 1764, while the sum is 30.

The spelling of 11006677101 in words is "eleven billion, six million, six hundred seventy-seven thousand, one hundred one".