411202220100 has 288 divisors, whose sum is σ = 1419066673920. Its totient is φ = 89943490560.

The previous prime is 411202220069. The next prime is 411202220101. The reversal of 411202220100 is 1022202114.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 411202220100.

It is not an unprimeable number, because it can be changed into a prime (411202220101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6851824 + ... + 6911576.

It is an arithmetic number, because the mean of its divisors is an integer number (4927314840).

Almost surely, 2^411202220100 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 411202220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709533336960).

411202220100 is an abundant number, since it is smaller than the sum of its proper divisors (1007864453820).

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

411202220100 is a wasteful number, since it uses less digits than its factorization.

411202220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59919 (or 59912 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 411202220100 its reverse (1022202114), we get a palindrome (412224422214).

The spelling of 411202220100 in words is "four hundred eleven billion, two hundred two million, two hundred twenty thousand, one hundred".