100001121011 has 16 divisors (see below), whose sum is σ = 115522897248. Its totient is φ = 85552396800.

The previous prime is 100001121001. The next prime is 100001121019. The reversal of 100001121011 is 110121100001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100001121011 - 2³⁴ = 82821251827 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001121011.

It is not an unprimeable number, because it can be changed into a prime (100001121019) 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, 1870001 + ... + 1922733.

It is an arithmetic number, because the mean of its divisors is an integer number (7220181078).

Almost surely, 2^100001121011 is an apocalyptic number.

100001121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001121011 is a deficient number, since it is larger than the sum of its proper divisors (15521776237).

100001121011 is a wasteful number, since it uses less digits than its factorization.

100001121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62902.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100001121011 its reverse (110121100001), we get a palindrome (210122221012).

The spelling of 100001121011 in words is "one hundred billion, one million, one hundred twenty-one thousand, eleven".