101101102011 has 48 divisors (see below), whose sum is σ = 179875760064. Its totient is φ = 53286377472.

The previous prime is 101101102007. The next prime is 101101102021. The reversal of 101101102011 is 110201101101.

It is not a de Polignac number, because 101101102011 - 2² = 101101102007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101101101984 and 101101102002.

It is not an unprimeable number, because it can be changed into a prime (101101102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014655 + ... + 1109831.

It is an arithmetic number, because the mean of its divisors is an integer number (3747411668).

Almost surely, 2^101101102011 is an apocalyptic number.

101101102011 is a deficient number, since it is larger than the sum of its proper divisors (78774658053).

101101102011 is a wasteful number, since it uses less digits than its factorization.

101101102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96500 (or 96497 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101101102011 its reverse (110201101101), we get a palindrome (211302203112).

The spelling of 101101102011 in words is "one hundred one billion, one hundred one million, one hundred two thousand, eleven".