410104222100 has 72 divisors (see below), whose sum is σ = 920917620000. Its totient is φ = 158332720000.

The previous prime is 410104222091. The next prime is 410104222127. The reversal of 410104222100 is 1222401014.

It is a super-2 number, since 2×410104222100² (a number of 24 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, 9406151 + ... + 9449649.

It is an arithmetic number, because the mean of its divisors is an integer number (12790522500).

Almost surely, 2^410104222100 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 410104222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460458810000).

410104222100 is an abundant number, since it is smaller than the sum of its proper divisors (510813397900).

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

410104222100 is a wasteful number, since it uses less digits than its factorization.

410104222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46793 (or 46786 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 410104222100 its reverse (1222401014), we get a palindrome (411326623114).

The spelling of 410104222100 in words is "four hundred ten billion, one hundred four million, two hundred twenty-two thousand, one hundred".