100011100511 has 8 divisors (see below), whose sum is σ = 114409055904. Its totient is φ = 85640808960.

The previous prime is 100011100477. The next prime is 100011100543. The reversal of 100011100511 is 115001110001.

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 100011100511 - 2⁶ = 100011100447 is a prime.

It is a super-2 number, since 2×100011100511² (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 = 100011100492 and 100011100501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011105511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6908210 + ... + 6922671.

It is an arithmetic number, because the mean of its divisors is an integer number (14301131988).

Almost surely, 2^100011100511 is an apocalyptic number.

100011100511 is a deficient number, since it is larger than the sum of its proper divisors (14397955393).

100011100511 is a wasteful number, since it uses less digits than its factorization.

100011100511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13831921.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 100011100511 its reverse (115001110001), we get a palindrome (215012210512).

The spelling of 100011100511 in words is "one hundred billion, eleven million, one hundred thousand, five hundred eleven".