10201221000 has 160 divisors (see below), whose sum is σ = 35659217880. Its totient is φ = 2720304000.

The previous prime is 10201220993. The next prime is 10201221001. The reversal of 10201221000 is 12210201.

It can be written as a sum of positive squares in 4 ways, for example, as 6207233796 + 3993987204 = 78786^2 + 63198^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10201221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18030 + ... + 143970.

Almost surely, 2^10201221000 is an apocalyptic number.

10201221000 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 10201221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829608940).

10201221000 is an abundant number, since it is smaller than the sum of its proper divisors (25457996880).

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

10201221000 is a wasteful number, since it uses less digits than its factorization.

10201221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125974 (or 125951 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10201221000 its reverse (12210201), we get a palindrome (10213431201).

The spelling of 10201221000 in words is "ten billion, two hundred one million, two hundred twenty-one thousand".