100101101011 has 8 divisors (see below), whose sum is σ = 100863770000. Its totient is φ = 99341151840.

The previous prime is 100101100997. The next prime is 100101101059. The reversal of 100101101011 is 110101101001.

It is a happy number.

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 100101101011 - 2⁹ = 100101100499 is a prime.

It is a super-2 number, since 2×100101101011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101100985 and 100101101003.

It is not an unprimeable number, because it can be changed into a prime (100101101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 606036 + ... + 753313.

It is an arithmetic number, because the mean of its divisors is an integer number (12607971250).

Almost surely, 2^100101101011 is an apocalyptic number.

100101101011 is a deficient number, since it is larger than the sum of its proper divisors (762668989).

100101101011 is a wasteful number, since it uses less digits than its factorization.

100101101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359909.

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

Adding to 100101101011 its reverse (110101101001), we get a palindrome (210202202012).

The spelling of 100101101011 in words is "one hundred billion, one hundred one million, one hundred one thousand, eleven".