100121123113300 has 72 divisors (see below), whose sum is σ = 218835721867392. Its totient is φ = 39759056064000.

The previous prime is 100121123113289. The next prime is 100121123113313. The reversal of 100121123113300 is 3311321121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11478060 + ... + 18220540.

It is an arithmetic number, because the mean of its divisors is an integer number (3039385025936).

Almost surely, 2^{100121123113300} is an apocalyptic number.

100121123113300 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 100121123113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109417860933696).

100121123113300 is an abundant number, since it is smaller than the sum of its proper divisors (118714598754092).

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

100121123113300 is a wasteful number, since it uses less digits than its factorization.

100121123113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6743569 (or 6743562 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 100121123113300 its reverse (3311321121001), we get a palindrome (103432444234301).

The spelling of 100121123113300 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-three million, one hundred thirteen thousand, three hundred".