10221121222000 has 80 divisors (see below), whose sum is σ = 26615799729792. Its totient is φ = 3773952441600.

The previous prime is 10221121221979. The next prime is 10221121222007. The reversal of 10221121222000 is 22212112201.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221121222007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196534024 + ... + 196586023.

Almost surely, 2^{10221121222000} is an apocalyptic number.

10221121222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221121222000 is an abundant number, since it is smaller than the sum of its proper divisors (16394678507792).

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

10221121222000 is a wasteful number, since it uses less digits than its factorization.

10221121222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393120083 (or 393120067 counting only the distinct ones).

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

Adding to 10221121222000 its reverse (22212112201), we get a palindrome (10243333334201).

The spelling of 10221121222000 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-two thousand".