100413522200000 has 168 divisors, whose sum is σ = 249220949557104. Its totient is φ = 40138914560000.

The previous prime is 100413522199999. The next prime is 100413522200021. The reversal of 100413522200000 is 2225314001.

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

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, 304435172 + ... + 304764828.

It is an arithmetic number, because the mean of its divisors is an integer number (1483458033078).

Almost surely, 2^{100413522200000} is an apocalyptic number.

100413522200000 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 100413522200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124610474778552).

100413522200000 is an abundant number, since it is smaller than the sum of its proper divisors (148807427357104).

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

100413522200000 is an frugal number, since it uses more digits than its factorization.

100413522200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331217 (or 331187 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 100413522200000 its reverse (2225314001), we get a palindrome (100415747514001).

The spelling of 100413522200000 in words is "one hundred trillion, four hundred thirteen billion, five hundred twenty-two million, two hundred thousand".