101101100511 has 8 divisors (see below), whose sum is σ = 134896203520. Its totient is φ = 67353365592.

The previous prime is 101101100509. The next prime is 101101100519. The reversal of 101101100511 is 115001101101.

It is a happy number.

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

It is not a de Polignac number, because 101101100511 - 2¹ = 101101100509 is a prime.

It is a super-2 number, since 2×101101100511² (a number of 23 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 (101101100519) 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, 11837041 + ... + 11845578.

It is an arithmetic number, because the mean of its divisors is an integer number (16862025440).

Almost surely, 2^101101100511 is an apocalyptic number.

101101100511 is a deficient number, since it is larger than the sum of its proper divisors (33795103009).

101101100511 is a wasteful number, since it uses less digits than its factorization.

101101100511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23684045.

The product of its (nonzero) digits is 5, while the sum is 12.

Adding to 101101100511 its reverse (115001101101), we get a palindrome (216102201612).

The spelling of 101101100511 in words is "one hundred one billion, one hundred one million, one hundred thousand, five hundred eleven".