100412410133020 has 48 divisors (see below), whose sum is σ = 211137752222208. Its totient is φ = 40113220564800.

The previous prime is 100412410132873. The next prime is 100412410133099. The reversal of 100412410133020 is 20331014214001.

It is a junction number, because it is equal to n+sod(n) for n = 100412410132982 and 100412410133000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231655495 + ... + 232088545.

It is an arithmetic number, because the mean of its divisors is an integer number (4398703171296).

Almost surely, 2^{100412410133020} is an apocalyptic number.

100412410133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100412410133020 is an abundant number, since it is smaller than the sum of its proper divisors (110725342089188).

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

100412410133020 is a wasteful number, since it uses less digits than its factorization.

100412410133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447970 (or 447968 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 100412410133020 its reverse (20331014214001), we get a palindrome (120743424347021).

The spelling of 100412410133020 in words is "one hundred trillion, four hundred twelve billion, four hundred ten million, one hundred thirty-three thousand, twenty".