10221011222000 has 80 divisors (see below), whose sum is σ = 24715286548992. Its totient is φ = 4088258681600.

The previous prime is 10221011221979. The next prime is 10221011222089. The reversal of 10221011222000 is 22211012201.

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

It is a super-3 number, since 3×10221011222000³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69152177 + ... + 69299823.

Almost surely, 2^{10221011222000} is an apocalyptic number.

10221011222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221011222000 is an abundant number, since it is smaller than the sum of its proper divisors (14494275326992).

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

10221011222000 is a wasteful number, since it uses less digits than its factorization.

10221011222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182283 (or 182267 counting only the distinct ones).

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

Adding to 10221011222000 its reverse (22211012201), we get a palindrome (10243222234201).

The spelling of 10221011222000 in words is "ten trillion, two hundred twenty-one billion, eleven million, two hundred twenty-two thousand".