100001200120100 has 144 divisors (see below), whose sum is σ = 221717830483968. Its totient is φ = 39140352092160.

The previous prime is 100001200120021. The next prime is 100001200120247. The reversal of 100001200120100 is 1021002100001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1663136237 + ... + 1663196363.

Almost surely, 2^{100001200120100} is an apocalyptic number.

100001200120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001200120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110858915241984).

100001200120100 is an abundant number, since it is smaller than the sum of its proper divisors (121716630363868).

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

100001200120100 is a wasteful number, since it uses less digits than its factorization.

100001200120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62014 (or 62007 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100001200120100 its reverse (1021002100001), we get a palindrome (101022202220101).

The spelling of 100001200120100 in words is "one hundred trillion, one billion, two hundred million, one hundred twenty thousand, one hundred".