100412144111400 has 192 divisors, whose sum is σ = 339613170508800. Its totient is φ = 24339645792000.

The previous prime is 100412144111393. The next prime is 100412144111401. The reversal of 100412144111400 is 4111441214001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100412144111401) 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, 59163841 + ... + 60837359.

It is an arithmetic number, because the mean of its divisors is an integer number (1768818596400).

Almost surely, 2^{100412144111400} is an apocalyptic number.

100412144111400 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 100412144111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169806585254400).

100412144111400 is an abundant number, since it is smaller than the sum of its proper divisors (239201026397400).

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

100412144111400 is a wasteful number, since it uses less digits than its factorization.

100412144111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682640 (or 1682631 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 100412144111400 its reverse (4111441214001), we get a palindrome (104523585325401).

The spelling of 100412144111400 in words is "one hundred trillion, four hundred twelve billion, one hundred forty-four million, one hundred eleven thousand, four hundred".