221013210110000 has 400 divisors, whose sum is σ = 667226047918848. Its totient is φ = 68877475200000.

The previous prime is 221013210109999. The next prime is 221013210110029. The reversal of 221013210110000 is 11012310122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 7000054214 + ... + 7000085786.

Almost surely, 2^{221013210110000} is an apocalyptic number.

221013210110000 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 221013210110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333613023959424).

221013210110000 is an abundant number, since it is smaller than the sum of its proper divisors (446212837808848).

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

221013210110000 is a wasteful number, since it uses less digits than its factorization.

221013210110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40710 (or 40689 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 221013210110000 its reverse (11012310122), we get a palindrome (221024222420122).

The spelling of 221013210110000 in words is "two hundred twenty-one trillion, thirteen billion, two hundred ten million, one hundred ten thousand".