101101211101101 has 8 divisors (see below), whose sum is σ = 134869456588384. Its totient is φ = 67366886507280.

The previous prime is 101101211101069. The next prime is 101101211101103. The reversal of 101101211101101 is 101101112101101.

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

It is not a de Polignac number, because 101101211101101 - 2⁵ = 101101211101069 is a prime.

It is a super-2 number, since 2×101101211101101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101211101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8480216410 + ... + 8480228331.

It is an arithmetic number, because the mean of its divisors is an integer number (16858682073548).

Almost surely, 2^{101101211101101} is an apocalyptic number.

It is an amenable number.

101101211101101 is a deficient number, since it is larger than the sum of its proper divisors (33768245487283).

101101211101101 is a wasteful number, since it uses less digits than its factorization.

101101211101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16960446731.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101101211101101 its reverse (101101112101101), we get a palindrome (202202323202202).

The spelling of 101101211101101 in words is "one hundred one trillion, one hundred one billion, two hundred eleven million, one hundred one thousand, one hundred one".