101102110002011 has 8 divisors (see below), whose sum is σ = 101238986269200. Its totient is φ = 100965255084288.

The previous prime is 101102110002007. The next prime is 101102110002017. The reversal of 101102110002011 is 110200011201101.

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 101102110002011 - 2² = 101102110002007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102110001983 and 101102110002001.

It is not an unprimeable number, because it can be changed into a prime (101102110002017) 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, 4151615 + ... + 14813511.

It is an arithmetic number, because the mean of its divisors is an integer number (12654873283650).

Almost surely, 2^{101102110002011} is an apocalyptic number.

101102110002011 is a deficient number, since it is larger than the sum of its proper divisors (136876267189).

101102110002011 is a wasteful number, since it uses less digits than its factorization.

101102110002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10674733.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101102110002011 its reverse (110200011201101), we get a palindrome (211302121203112).

The spelling of 101102110002011 in words is "one hundred one trillion, one hundred two billion, one hundred ten million, two thousand, eleven".