202220222001000 has 256 divisors, whose sum is σ = 759010037760000. Its totient is φ = 43789040467200.

The previous prime is 202220222000987. The next prime is 202220222001001. The reversal of 202220222001000 is 100222022202.

It is a super-2 number, since 2×202220222001000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (202220222001001) 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 63 ways as a sum of consecutive naturals, for example, 253009800 + ... + 253807799.

It is an arithmetic number, because the mean of its divisors is an integer number (2964882960000).

Almost surely, 2^{202220222001000} is an apocalyptic number.

202220222001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202220222001000 is an abundant number, since it is smaller than the sum of its proper divisors (556789815759000).

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

202220222001000 is a wasteful number, since it uses less digits than its factorization.

202220222001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506817649 (or 506817635 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 202220222001000 its reverse (100222022202), we get a palindrome (202320444023202).

The spelling of 202220222001000 in words is "two hundred two trillion, two hundred twenty billion, two hundred twenty-two million, one thousand".