411113222100 has 216 divisors, whose sum is σ = 1473371198208. Its totient is φ = 93925843200.

The previous prime is 411113222089. The next prime is 411113222111. The reversal of 411113222100 is 1222311114.

411113222100 is a `hidden beast` number, since 411 + 1 + 1 + 32 + 221 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (411113222089) and next prime (411113222111).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14986597 + ... + 15014003.

Almost surely, 2^411113222100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411113222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736685599104).

411113222100 is an abundant number, since it is smaller than the sum of its proper divisors (1062257976108).

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

411113222100 is a wasteful number, since it uses less digits than its factorization.

411113222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29815 (or 29805 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 411113222100 its reverse (1222311114), we get a palindrome (412335533214).

The spelling of 411113222100 in words is "four hundred eleven billion, one hundred thirteen million, two hundred twenty-two thousand, one hundred".