10411311100 has 144 divisors (see below), whose sum is σ = 24325943040. Its totient is φ = 3858624000.

The previous prime is 10411311061. The next prime is 10411311103. The reversal of 10411311100 is 111311401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10411311103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9905575 + ... + 9906625.

It is an arithmetic number, because the mean of its divisors is an integer number (168930160).

Almost surely, 2^10411311100 is an apocalyptic number.

10411311100 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 10411311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162971520).

10411311100 is an abundant number, since it is smaller than the sum of its proper divisors (13914631940).

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

10411311100 is a wasteful number, since it uses less digits than its factorization.

10411311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10411311100 its reverse (111311401), we get a palindrome (10522622501).

The spelling of 10411311100 in words is "ten billion, four hundred eleven million, three hundred eleven thousand, one hundred".