100311221300 has 72 divisors (see below), whose sum is σ = 223627374432. Its totient is φ = 39034800000.

The previous prime is 100311221267. The next prime is 100311221323. The reversal of 100311221300 is 3122113001.

100311221300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100311221300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032830 + ... + 1125770.

It is an arithmetic number, because the mean of its divisors is an integer number (3105935756).

Almost surely, 2^100311221300 is an apocalyptic number.

100311221300 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 100311221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111813687216).

100311221300 is an abundant number, since it is smaller than the sum of its proper divisors (123316153132).

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

100311221300 is a wasteful number, since it uses less digits than its factorization.

100311221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93249 (or 93242 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100311221300 its reverse (3122113001), we get a palindrome (103433334301).

The spelling of 100311221300 in words is "one hundred billion, three hundred eleven million, two hundred twenty-one thousand, three hundred".