10221002211000 has 512 divisors, whose sum is σ = 37761743185920. Its totient is φ = 2252952576000.

The previous prime is 10221002210989. The next prime is 10221002211041. The reversal of 10221002211000 is 11220012201.

It is a super-3 number, since 3×10221002211000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 127 ways as a sum of consecutive naturals, for example, 87742795 + ... + 87859205.

It is an arithmetic number, because the mean of its divisors is an integer number (73753404660).

Almost surely, 2^{10221002211000} is an apocalyptic number.

10221002211000 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 10221002211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18880871592960).

10221002211000 is an abundant number, since it is smaller than the sum of its proper divisors (27540740974920).

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

10221002211000 is a wasteful number, since it uses less digits than its factorization.

10221002211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116592 (or 116578 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10221002211000 its reverse (11220012201), we get a palindrome (10232222223201).

The spelling of 10221002211000 in words is "ten trillion, two hundred twenty-one billion, two million, two hundred eleven thousand".