221010201000 has 448 divisors, whose sum is σ = 786202157520. Its totient is φ = 58114713600.

The previous prime is 221010200909. The next prime is 221010201023. The reversal of 221010201000 is 102010122.

It can be written as a sum of positive squares in 8 ways, for example, as 3382352964 + 217627848036 = 58158^2 + 466506^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 53214924 + ... + 53219076.

Almost surely, 2^221010201000 is an apocalyptic number.

221010201000 is a gapful number since it is divisible by the number (20) 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 221010201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393101078760).

221010201000 is an abundant number, since it is smaller than the sum of its proper divisors (565191956520).

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

221010201000 is an equidigital number, since it uses as much as digits as its factorization.

221010201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265 (or 4236 counting only the distinct ones).

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

Adding to 221010201000 its reverse (102010122), we get a palindrome (221112211122).

The spelling of 221010201000 in words is "two hundred twenty-one billion, ten million, two hundred one thousand".