100000001121100 has 144 divisors (see below), whose sum is σ = 228881096172288. Its totient is φ = 37849662639360.

The previous prime is 100000001121047. The next prime is 100000001121113. The reversal of 100000001121100 is 1121100000001.

100000001121100 is a modest number, since divided by 1121100 gives 100 as remainder.

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 47 ways as a sum of consecutive naturals, for example, 81359719 + ... + 82579681.

It is an arithmetic number, because the mean of its divisors is an integer number (1589452056752).

Almost surely, 2^{100000001121100} is an apocalyptic number.

100000001121100 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 100000001121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114440548086144).

100000001121100 is an abundant number, since it is smaller than the sum of its proper divisors (128881095051188).

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

100000001121100 is a wasteful number, since it uses less digits than its factorization.

100000001121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220384 (or 1220377 counting only the distinct ones).

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

Adding to 100000001121100 its reverse (1121100000001), we get a palindrome (101121101121101).

The spelling of 100000001121100 in words is "one hundred trillion, one million, one hundred twenty-one thousand, one hundred".