221021010020000 has 60 divisors (see below), whose sum is σ = 543744837849906. Its totient is φ = 88408404000000.

The previous prime is 221021010019813. The next prime is 221021010020059. The reversal of 221021010020000 is 20010120122.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 5859168807184 + 215161841212816 = 2420572^2 + 14668396^2 .

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 9 ways as a sum of consecutive naturals, for example, 5525505251 + ... + 5525545250.

Almost surely, 2^{221021010020000} is an apocalyptic number.

221021010020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021010020000 is an abundant number, since it is smaller than the sum of its proper divisors (322723827829906).

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

221021010020000 is an equidigital number, since it uses as much as digits as its factorization.

221021010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11051050531 (or 11051050508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221021010020000 its reverse (20010120122), we get a palindrome (221041020140122).

The spelling of 221021010020000 in words is "two hundred twenty-one trillion, twenty-one billion, ten million, twenty thousand".