214301201000020 has 192 divisors, whose sum is σ = 482744315289600. Its totient is φ = 79730266936320.

The previous prime is 214301200999973. The next prime is 214301201000021. The reversal of 214301201000020 is 20000102103412.

It is a junction number, because it is equal to n+sod(n) for n = 214301200999958 and 214301201000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214301201000021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21136320111 + ... + 21136330249.

It is an arithmetic number, because the mean of its divisors is an integer number (2514293308800).

Almost surely, 2^{214301201000020} is an apocalyptic number.

214301201000020 is a gapful number since it is divisible by the number (20) 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 214301201000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241372157644800).

214301201000020 is an abundant number, since it is smaller than the sum of its proper divisors (268443114289580).

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

214301201000020 is a wasteful number, since it uses less digits than its factorization.

214301201000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18998 (or 18996 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 214301201000020 its reverse (20000102103412), we get a palindrome (234301303103432).

The spelling of 214301201000020 in words is "two hundred fourteen trillion, three hundred one billion, two hundred one million, twenty", and thus it is an aban number.