100414352500000 has 1152 divisors, whose sum is σ = 321068243688192. Its totient is φ = 30552480000000.

The previous prime is 100414352499997. The next prime is 100414352500061. The reversal of 100414352500000 is 5253414001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57942499134 + ... + 57942500866.

It is an arithmetic number, because the mean of its divisors is an integer number (278705072646).

Almost surely, 2^{100414352500000} is an apocalyptic number.

100414352500000 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 100414352500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160534121844096).

100414352500000 is an abundant number, since it is smaller than the sum of its proper divisors (220653891188192).

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

100414352500000 is an frugal number, since it uses more digits than its factorization.

100414352500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 100414352500000 in words is "one hundred trillion, four hundred fourteen billion, three hundred fifty-two million, five hundred thousand".