22010202122000 has 40 divisors (see below), whose sum is σ = 53220668735832. Its totient is φ = 8804080848000.

The previous prime is 22010202121993. The next prime is 22010202122009. The reversal of 22010202122000 is 22120201022.

It can be written as a sum of positive squares in 4 ways, for example, as 4403484008704 + 17606718113296 = 2098448^2 + 4196036^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (22010202122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5502548531 + ... + 5502552530.

Almost surely, 2^{22010202122000} is an apocalyptic number.

22010202122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010202122000 is an abundant number, since it is smaller than the sum of its proper divisors (31210466613832).

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

22010202122000 is a wasteful number, since it uses less digits than its factorization.

22010202122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005101084 (or 11005101068 counting only the distinct ones).

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

Adding to 22010202122000 its reverse (22120201022), we get a palindrome (22032322323022).

The spelling of 22010202122000 in words is "twenty-two trillion, ten billion, two hundred two million, one hundred twenty-two thousand".