100011222110100 has 144 divisors (see below), whose sum is σ = 350156937771648. Its totient is φ = 21515019202560.

The previous prime is 100011222110077. The next prime is 100011222110119. The reversal of 100011222110100 is 1011222110001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1400681697 + ... + 1400753096.

It is an arithmetic number, because the mean of its divisors is an integer number (2431645401192).

Almost surely, 2^{100011222110100} is an apocalyptic number.

100011222110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011222110100 is an abundant number, since it is smaller than the sum of its proper divisors (250145715661548).

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

100011222110100 is a wasteful number, since it uses less digits than its factorization.

100011222110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801434834 (or 2801434827 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100011222110100 its reverse (1011222110001), we get a palindrome (101022444220101).

Subtracting from 100011222110100 its reverse (1011222110001), we obtain a palindrome (99000000000099).

The spelling of 100011222110100 in words is "one hundred trillion, eleven billion, two hundred twenty-two million, one hundred ten thousand, one hundred".