221202210002000 has 80 divisors (see below), whose sum is σ = 566329705270992. Its totient is φ = 83276126105600.

The previous prime is 221202210001963. The next prime is 221202210002003. The reversal of 221202210002000 is 200012202122.

It can be written as a sum of positive squares in 8 ways, for example, as 85184851630096 + 136017358371904 = 9229564^2 + 11662648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221202210002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3252939677 + ... + 3253007676.

Almost surely, 2^{221202210002000} is an apocalyptic number.

221202210002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202210002000 is an abundant number, since it is smaller than the sum of its proper divisors (345127495268992).

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

221202210002000 is a wasteful number, since it uses less digits than its factorization.

221202210002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505947393 (or 6505947377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221202210002000 its reverse (200012202122), we get a palindrome (221402222204122).

The spelling of 221202210002000 in words is "two hundred twenty-one trillion, two hundred two billion, two hundred ten million, two thousand".