10412124121100 has 288 divisors, whose sum is σ = 24915418644480. Its totient is φ = 3776131457280.

The previous prime is 10412124121097. The next prime is 10412124121117. The reversal of 10412124121100 is 112142121401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2873893889 + ... + 2873897511.

Almost surely, 2^{10412124121100} is an apocalyptic number.

10412124121100 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 10412124121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457709322240).

10412124121100 is an abundant number, since it is smaller than the sum of its proper divisors (14503294523380).

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

10412124121100 is a wasteful number, since it uses less digits than its factorization.

10412124121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10412124121100 its reverse (112142121401), we get a palindrome (10524266242501).

The spelling of 10412124121100 in words is "ten trillion, four hundred twelve billion, one hundred twenty-four million, one hundred twenty-one thousand, one hundred".