222010122121000 has 128 divisors (see below), whose sum is σ = 524692003548960. Its totient is φ = 87917306880000.

The previous prime is 222010122120973. The next prime is 222010122121001. The reversal of 222010122121000 is 121221010222.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 93381724750084 + 128628397370916 = 9663422^2 + 11341446^2 .

It is not an unprimeable number, because it can be changed into a prime (222010122121001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270189614 + ... + 1270364386.

Almost surely, 2^{222010122121000} is an apocalyptic number.

222010122121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222010122121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262346001774480).

222010122121000 is an abundant number, since it is smaller than the sum of its proper divisors (302681881427960).

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

222010122121000 is a wasteful number, since it uses less digits than its factorization.

222010122121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187472 (or 187458 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222010122121000 its reverse (121221010222), we get a palindrome (222131343131222).

The spelling of 222010122121000 in words is "two hundred twenty-two trillion, ten billion, one hundred twenty-two million, one hundred twenty-one thousand".