100001122111100 has 72 divisors (see below), whose sum is σ = 248084448558240. Its totient is φ = 34274808817920.

The previous prime is 100001122111091. The next prime is 100001122111103. The reversal of 100001122111100 is 1111221100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001122111103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21393815 + ... + 25645614.

Almost surely, 2^{100001122111100} is an apocalyptic number.

100001122111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001122111100 is an abundant number, since it is smaller than the sum of its proper divisors (148083326447140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100001122111100 is a wasteful number, since it uses less digits than its factorization.

100001122111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47042487 (or 47042480 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100001122111100 its reverse (1111221100001), we get a palindrome (101112343211101).

The spelling of 100001122111100 in words is "one hundred trillion, one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred".