101100100001011 has 16 divisors (see below), whose sum is σ = 103789796363136. Its totient is φ = 98449117468416.

The previous prime is 101100100000993. The next prime is 101100100001093. The reversal of 101100100001011 is 110100001001101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101100100001011 - 2⁵ = 101100100000979 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100100000985 and 101100100001003.

It is not an unprimeable number, because it can be changed into a prime (101100100041011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11751006 + ... + 18446851.

It is an arithmetic number, because the mean of its divisors is an integer number (6486862272696).

Almost surely, 2^{101100100001011} is an apocalyptic number.

101100100001011 is a deficient number, since it is larger than the sum of its proper divisors (2689696362125).

101100100001011 is a wasteful number, since it uses less digits than its factorization.

101100100001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30198498.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101100100001011 its reverse (110100001001101), we get a palindrome (211200101002112).

The spelling of 101100100001011 in words is "one hundred one trillion, one hundred billion, one hundred million, one thousand, eleven".