101101101101 has 48 divisors (see below), whose sum is σ = 137115291264. Its totient is φ = 71992800000.

The previous prime is 101101101097. The next prime is 101101101113.

101101101101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101101101101 - 2² = 101101101097 is a prime.

101101101101 is a strobogrammatic number because it is the same when read upside-down.

101101101101 is a modest number, since divided by 101101101 gives 101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101101151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10206251 + ... + 10216151.

It is an arithmetic number, because the mean of its divisors is an integer number (2856568568).

Almost surely, 2^101101101101 is an apocalyptic number.

101101101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101101101 is a deficient number, since it is larger than the sum of its proper divisors (36014190163).

101101101101 is a wasteful number, since it uses less digits than its factorization.

101101101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

It can be divided in two parts, 101101101 and 101, that multiplied together give a palindrome (10211211201).

The spelling of 101101101101 in words is "one hundred one billion, one hundred one million, one hundred one thousand, one hundred one".