214201101120000 has 800 divisors, whose sum is σ = 724556253330624. Its totient is φ = 56202854400000.

The previous prime is 214201101119947. The next prime is 214201101120079. The reversal of 214201101120000 is 21101102412.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×214201101120000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 79 ways as a sum of consecutive naturals, for example, 84966718740 + ... + 84966721260.

Almost surely, 2^{214201101120000} is an apocalyptic number.

214201101120000 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 214201101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362278126665312).

214201101120000 is an abundant number, since it is smaller than the sum of its proper divisors (510355152210624).

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

214201101120000 is an equidigital number, since it uses as much as digits as its factorization.

214201101120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 214201101120000 its reverse (21101102412), we get a palindrome (214222202222412).

The spelling of 214201101120000 in words is "two hundred fourteen trillion, two hundred one billion, one hundred one million, one hundred twenty thousand".