10221022201000 has 256 divisors, whose sum is σ = 26215170246720. Its totient is φ = 3706951680000.

The previous prime is 10221022200997. The next prime is 10221022201001. The reversal of 10221022201000 is 10222012201.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 10215604946596 + 5417254404 = 3196186^2 + 73602^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10221022201001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 603464532 + ... + 603481468.

Almost surely, 2^{10221022201000} is an apocalyptic number.

10221022201000 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 10221022201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107585123360).

10221022201000 is an abundant number, since it is smaller than the sum of its proper divisors (15994148045720).

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

10221022201000 is a wasteful number, since it uses less digits than its factorization.

10221022201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17793 (or 17779 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10221022201000 its reverse (10222012201), we get a palindrome (10231244213201).

The spelling of 10221022201000 in words is "ten trillion, two hundred twenty-one billion, twenty-two million, two hundred one thousand".