202221001022000 has 80 divisors (see below), whose sum is σ = 489367600385664. Its totient is φ = 80822689920000.

The previous prime is 202221001021969. The next prime is 202221001022003. The reversal of 202221001022000 is 220100122202.

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

It is not an unprimeable number, because it can be changed into a prime (202221001022003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38606441 + ... + 43530440.

Almost surely, 2^{202221001022000} is an apocalyptic number.

202221001022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221001022000 is an abundant number, since it is smaller than the sum of its proper divisors (287146599363664).

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

202221001022000 is a wasteful number, since it uses less digits than its factorization.

202221001022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82138135 (or 82138119 counting only the distinct ones).

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

Adding to 202221001022000 its reverse (220100122202), we get a palindrome (202441101144202).

The spelling of 202221001022000 in words is "two hundred two trillion, two hundred twenty-one billion, one million, twenty-two thousand".