18301921012100 has 72 divisors (see below), whose sum is σ = 43601598360768. Its totient is φ = 6612853852800.

The previous prime is 18301921012097. The next prime is 18301921012121. The reversal of 18301921012100 is 121012910381.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52814912 + ... + 53160311.

Almost surely, 2^{18301921012100} is an apocalyptic number.

18301921012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18301921012100 is an abundant number, since it is smaller than the sum of its proper divisors (25299677348668).

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

18301921012100 is a wasteful number, since it uses less digits than its factorization.

18301921012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105975405 (or 105975398 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 29.

Adding to 18301921012100 its reverse (121012910381), we get a palindrome (18422933922481).

The spelling of 18301921012100 in words is "eighteen trillion, three hundred one billion, nine hundred twenty-one million, twelve thousand, one hundred".