10412341401100 has 144 divisors (see below), whose sum is σ = 23836051895040. Its totient is φ = 3940238649600.

The previous prime is 10412341401089. The next prime is 10412341401193. The reversal of 10412341401100 is 110414321401.

It is a super-2 number, since 2×10412341401100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141107215 + ... + 141180985.

It is an arithmetic number, because the mean of its divisors is an integer number (165528138160).

Almost surely, 2^{10412341401100} is an apocalyptic number.

10412341401100 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 10412341401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918025947520).

10412341401100 is an abundant number, since it is smaller than the sum of its proper divisors (13423710493940).

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

10412341401100 is a wasteful number, since it uses less digits than its factorization.

10412341401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74480 (or 74473 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10412341401100 its reverse (110414321401), we get a palindrome (10522755722501).

The spelling of 10412341401100 in words is "ten trillion, four hundred twelve billion, three hundred forty-one million, four hundred one thousand, one hundred".