100111110101300 has 72 divisors (see below), whose sum is σ = 218472337812960. Its totient is φ = 39817525449600.

The previous prime is 100111110101297. The next prime is 100111110101311. The reversal of 100111110101300 is 3101011111001.

It is a super-2 number, since 2×100111110101300² (a number of 29 digits) contains 22 as substring.

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, 228561107 + ... + 228998693.

It is an arithmetic number, because the mean of its divisors is an integer number (3034338025180).

Almost surely, 2^{100111110101300} is an apocalyptic number.

100111110101300 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 100111110101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109236168906480).

100111110101300 is an abundant number, since it is smaller than the sum of its proper divisors (118361227711660).

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

100111110101300 is a wasteful number, since it uses less digits than its factorization.

100111110101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450561 (or 450554 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 100111110101300 its reverse (3101011111001), we get a palindrome (103212121212301).

The spelling of 100111110101300 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one hundred one thousand, three hundred".