100120241400 has 96 divisors (see below), whose sum is σ = 310513875840. Its totient is φ = 26686591360.

The previous prime is 100120241399. The next prime is 100120241411. The reversal of 100120241400 is 4142021001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100120241400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1323397 + ... + 1397003.

It is an arithmetic number, because the mean of its divisors is an integer number (3234519540).

Almost surely, 2^100120241400 is an apocalyptic number.

100120241400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120241400 is an abundant number, since it is smaller than the sum of its proper divisors (210393634440).

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

100120241400 is a wasteful number, since it uses less digits than its factorization.

100120241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75893 (or 75884 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100120241400 its reverse (4142021001), we get a palindrome (104262262401).

The spelling of 100120241400 in words is "one hundred billion, one hundred twenty million, two hundred forty-one thousand, four hundred".