221020901830000 has 100 divisors (see below), whose sum is σ = 535370651558248. Its totient is φ = 88365909600000.

The previous prime is 221020901829997. The next prime is 221020901830007. The reversal of 221020901830000 is 38109020122.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020901830007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15524650 + ... + 26135350.

Almost surely, 2^{221020901830000} is an apocalyptic number.

221020901830000 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 221020901830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267685325779124).

221020901830000 is an abundant number, since it is smaller than the sum of its proper divisors (314349749728248).

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

221020901830000 is a wasteful number, since it uses less digits than its factorization.

221020901830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612812 (or 10612791 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 221020901830000 in words is "two hundred twenty-one trillion, twenty billion, nine hundred one million, eight hundred thirty thousand".