100250345252000 has 192 divisors, whose sum is σ = 252516378441600. Its totient is φ = 39092069632000.

The previous prime is 100250345251943. The next prime is 100250345252011. The reversal of 100250345252000 is 252543052001.

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 31 ways as a sum of consecutive naturals, for example, 214114151 + ... + 214581849.

It is an arithmetic number, because the mean of its divisors is an integer number (1315189471050).

Almost surely, 2^{100250345252000} is an apocalyptic number.

100250345252000 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 100250345252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126258189220800).

100250345252000 is an abundant number, since it is smaller than the sum of its proper divisors (152266033189600).

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

100250345252000 is a wasteful number, since it uses less digits than its factorization.

100250345252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469072 (or 469054 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 100250345252000 in words is "one hundred trillion, two hundred fifty billion, three hundred forty-five million, two hundred fifty-two thousand".