10221020111000 has 192 divisors, whose sum is σ = 24847479146880. Its totient is φ = 3933536985600.

The previous prime is 10221020110963. The next prime is 10221020111011. The reversal of 10221020111000 is 11102012201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163575764 + ... + 163638236.

It is an arithmetic number, because the mean of its divisors is an integer number (129413953890).

Almost surely, 2^{10221020111000} is an apocalyptic number.

10221020111000 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 10221020111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12423739573440).

10221020111000 is an abundant number, since it is smaller than the sum of its proper divisors (14626459035880).

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

10221020111000 is an equidigital number, since it uses as much as digits as its factorization.

10221020111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62659 (or 62586 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10221020111000 its reverse (11102012201), we get a palindrome (10232122123201).

The spelling of 10221020111000 in words is "ten trillion, two hundred twenty-one billion, twenty million, one hundred eleven thousand".