100302102342000 has 480 divisors, whose sum is σ = 397125955437120. Its totient is φ = 23390286796800.

The previous prime is 100302102341977. The next prime is 100302102342011. The reversal of 100302102342000 is 243201203001.

100302102342000 is a `hidden beast` number, since 1 + 0 + 0 + 30 + 210 + 2 + 3 + 420 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6834039 + ... + 15726038.

It is an arithmetic number, because the mean of its divisors is an integer number (827345740494).

Almost surely, 2^{100302102342000} is an apocalyptic number.

100302102342000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100302102342000 is an abundant number, since it is smaller than the sum of its proper divisors (296823853095120).

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

100302102342000 is a wasteful number, since it uses less digits than its factorization.

100302102342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22560138 (or 22560119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100302102342000 its reverse (243201203001), we get a palindrome (100545303545001).

The spelling of 100302102342000 in words is "one hundred trillion, three hundred two billion, one hundred two million, three hundred forty-two thousand".