100412241020 has 192 divisors, whose sum is σ = 265758990336. Its totient is φ = 31019397120.

The previous prime is 100412240983. The next prime is 100412241031. The reversal of 100412241020 is 20142214001.

It is a self number, because there is not a number n which added to its sum of digits gives 100412241020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37037465 + ... + 37040175.

It is an arithmetic number, because the mean of its divisors is an integer number (1384161408).

Almost surely, 2^100412241020 is an apocalyptic number.

100412241020 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 100412241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132879495168).

100412241020 is an abundant number, since it is smaller than the sum of its proper divisors (165346749316).

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

100412241020 is a wasteful number, since it uses less digits than its factorization.

100412241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100412241020 its reverse (20142214001), we get a palindrome (120554455021).

The spelling of 100412241020 in words is "one hundred billion, four hundred twelve million, two hundred forty-one thousand, twenty".