100011201101 has 16 divisors (see below), whose sum is σ = 115463023104. Its totient is φ = 84852520704.

The previous prime is 100011201083. The next prime is 100011201131. The reversal of 100011201101 is 101102110001.

It is a happy number.

It is not a de Polignac number, because 100011201101 - 2³⁰ = 98937459277 is a prime.

It is a super-2 number, since 2×100011201101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011201131) 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 15 ways as a sum of consecutive naturals, for example, 515276 + ... + 682298.

It is an arithmetic number, because the mean of its divisors is an integer number (7216438944).

Almost surely, 2^100011201101 is an apocalyptic number.

It is an amenable number.

100011201101 is a deficient number, since it is larger than the sum of its proper divisors (15451822003).

100011201101 is a wasteful number, since it uses less digits than its factorization.

100011201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167900.

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

Adding to 100011201101 its reverse (101102110001), we get a palindrome (201113311102).

The spelling of 100011201101 in words is "one hundred billion, eleven million, two hundred one thousand, one hundred one".