100011005561100 has 72 divisors (see below), whose sum is σ = 297185856557968. Its totient is φ = 25948801440000.

The previous prime is 100011005560993. The next prime is 100011005561119. The reversal of 100011005561100 is 1165500110001.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4504989151 + ... + 4505011350.

Almost surely, 2^{100011005561100} is an apocalyptic number.

100011005561100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011005561100 is an abundant number, since it is smaller than the sum of its proper divisors (197174850996868).

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

100011005561100 is a wasteful number, since it uses less digits than its factorization.

100011005561100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010000555 (or 9010000548 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 100011005561100 its reverse (1165500110001), we get a palindrome (101176505671101).

The spelling of 100011005561100 in words is "one hundred trillion, eleven billion, five million, five hundred sixty-one thousand, one hundred".