100111200121100 has 72 divisors (see below), whose sum is σ = 252345871101408. Its totient is φ = 33761154124800.

The previous prime is 100111200121081. The next prime is 100111200121103. The reversal of 100111200121100 is 1121002111001.

It is not an unprimeable number, because it can be changed into a prime (100111200121103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172219597 + ... + 1172304996.

Almost surely, 2^{100111200121100} is an apocalyptic number.

100111200121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111200121100 is an abundant number, since it is smaller than the sum of its proper divisors (152234670980308).

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

100111200121100 is a wasteful number, since it uses less digits than its factorization.

100111200121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344524675 (or 2344524668 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100111200121100 its reverse (1121002111001), we get a palindrome (101232202232101).

The spelling of 100111200121100 in words is "one hundred trillion, one hundred eleven billion, two hundred million, one hundred twenty-one thousand, one hundred".