221001202000 has 80 divisors (see below), whose sum is σ = 544463826192. Its totient is φ = 86732505600.

The previous prime is 221001201977. The next prime is 221001202003. The reversal of 221001202000 is 202100122.

221001202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10129214736 + 210871987264 = 100644^2 + 459208^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001202003) 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 15 ways as a sum of consecutive naturals, for example, 936459 + ... + 1148458.

Almost surely, 2^221001202000 is an apocalyptic number.

221001202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001202000 is an abundant number, since it is smaller than the sum of its proper divisors (323462624192).

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

221001202000 is a wasteful number, since it uses less digits than its factorization.

221001202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084993 (or 2084977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 221001202000 its reverse (202100122), we get a palindrome (221203302122).

The spelling of 221001202000 in words is "two hundred twenty-one billion, one million, two hundred two thousand".