10021121222000 has 240 divisors, whose sum is σ = 28466273309760. Its totient is φ = 3401791680000.

The previous prime is 10021121221913. The next prime is 10021121222011. The reversal of 10021121222000 is 22212112001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9391781 + ... + 10404219.

It is an arithmetic number, because the mean of its divisors is an integer number (118609472124).

Almost surely, 2^{10021121222000} is an apocalyptic number.

10021121222000 is a gapful number since it is divisible by the number (10) 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 10021121222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14233136654880).

10021121222000 is an abundant number, since it is smaller than the sum of its proper divisors (18445152087760).

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

10021121222000 is a wasteful number, since it uses less digits than its factorization.

10021121222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012577 (or 1012554 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10021121222000 its reverse (22212112001), we get a palindrome (10043333334001).

The spelling of 10021121222000 in words is "ten trillion, twenty-one billion, one hundred twenty-one million, two hundred twenty-two thousand".