221020030141400 has 192 divisors, whose sum is σ = 589731911289600. Its totient is φ = 75462492879360.

The previous prime is 221020030141369. The next prime is 221020030141483. The reversal of 221020030141400 is 4141030020122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625423154 + ... + 625776446.

It is an arithmetic number, because the mean of its divisors is an integer number (3071520371300).

Almost surely, 2^{221020030141400} is an apocalyptic number.

221020030141400 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 221020030141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294865955644800).

221020030141400 is an abundant number, since it is smaller than the sum of its proper divisors (368711881148200).

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

221020030141400 is a wasteful number, since it uses less digits than its factorization.

221020030141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355178 (or 355169 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 221020030141400 its reverse (4141030020122), we get a palindrome (225161060161522).

The spelling of 221020030141400 in words is "two hundred twenty-one trillion, twenty billion, thirty million, one hundred forty-one thousand, four hundred".