111405210021300 has 288 divisors, whose sum is σ = 358358893118464. Its totient is φ = 26535693312000.

The previous prime is 111405210021199. The next prime is 111405210021307. The reversal of 111405210021300 is 3120012504111.

111405210021300 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 2×111405210021300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111405210021307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1479899262 + ... + 1479974538.

Almost surely, 2^{111405210021300} is an apocalyptic number.

111405210021300 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 111405210021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179179446559232).

111405210021300 is an abundant number, since it is smaller than the sum of its proper divisors (246953683097164).

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

111405210021300 is a wasteful number, since it uses less digits than its factorization.

111405210021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87579 (or 87572 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 111405210021300 its reverse (3120012504111), we get a palindrome (114525222525411).

The spelling of 111405210021300 in words is "one hundred eleven trillion, four hundred five billion, two hundred ten million, twenty-one thousand, three hundred".