100000121100100 has 108 divisors (see below), whose sum is σ = 235041616748736. Its totient is φ = 36912907724160.

The previous prime is 100000121100083. The next prime is 100000121100107. The reversal of 100000121100100 is 1001121000001.

It is not an unprimeable number, because it can be changed into a prime (100000121100107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60412089 + ... + 62045311.

It is an arithmetic number, because the mean of its divisors is an integer number (2176311266192).

Almost surely, 2^{100000121100100} is an apocalyptic number.

100000121100100 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 100000121100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117520808374368).

100000121100100 is an abundant number, since it is smaller than the sum of its proper divisors (135041495648636).

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

100000121100100 is a wasteful number, since it uses less digits than its factorization.

100000121100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636886 (or 1636866 counting only the distinct ones).

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

Adding to 100000121100100 its reverse (1001121000001), we get a palindrome (101001242100101).

The spelling of 100000121100100 in words is "one hundred trillion, one hundred twenty-one million, one hundred thousand, one hundred".