10401040100 has 72 divisors (see below), whose sum is σ = 24678108000. Its totient is φ = 3773593600.

The previous prime is 10401040099. The next prime is 10401040109. The reversal of 10401040100 is 104010401.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is not an unprimeable number, because it can be changed into a prime (10401040109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483371 + ... + 504429.

It is an arithmetic number, because the mean of its divisors is an integer number (342751500).

Almost surely, 2^10401040100 is an apocalyptic number.

10401040100 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 10401040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12339054000).

10401040100 is an abundant number, since it is smaller than the sum of its proper divisors (14277067900).

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

10401040100 is a wasteful number, since it uses less digits than its factorization.

10401040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21533 (or 21526 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10401040100 its reverse (104010401), we get a palindrome (10505050501).

10401040100 divided by its reverse (104010401) gives a square (100 = 10²).

The spelling of 10401040100 in words is "ten billion, four hundred one million, forty thousand, one hundred".