101101111101101 has 8 divisors (see below), whose sum is σ = 101674681588224. Its totient is φ = 100528001502880.

The previous prime is 101101111101097. The next prime is 101101111101121.

101101111101101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101101111101101 - 2² = 101101111101097 is a prime.

101101111101101 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101111101121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114782255 + ... + 115659708.

It is an arithmetic number, because the mean of its divisors is an integer number (12709335198528).

Almost surely, 2^{101101111101101} is an apocalyptic number.

It is an amenable number.

101101111101101 is a deficient number, since it is larger than the sum of its proper divisors (573570487123).

101101111101101 is a wasteful number, since it uses less digits than its factorization.

101101111101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230444451.

The product of its (nonzero) digits is 1, while the sum is 11.

The spelling of 101101111101101 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred one".