100001121100000 has 144 divisors (see below), whose sum is σ = 259032382585200. Its totient is φ = 37895160960000.

The previous prime is 100001121099991. The next prime is 100001121100163. The reversal of 100001121100000 is 1121100001.

It is a congruent 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, 24416085 + ... + 28216084.

It is an arithmetic number, because the mean of its divisors is an integer number (1798835990175).

Almost surely, 2^{100001121100000} is an apocalyptic number.

100001121100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001121100000 is an abundant number, since it is smaller than the sum of its proper divisors (159031261485200).

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

100001121100000 is an frugal number, since it uses more digits than its factorization.

100001121100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52632223 (or 52632195 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100001121100000 its reverse (1121100001), we get a palindrome (100002242200001).

Subtracting from 100001121100000 its reverse (1121100001), we obtain a palindrome (99999999999999).

The spelling of 100001121100000 in words is "one hundred trillion, one billion, one hundred twenty-one million, one hundred thousand".