221020101000 has 96 divisors (see below), whose sum is σ = 747047971800. Its totient is φ = 58938691200.

The previous prime is 221020100993. The next prime is 221020101017. The reversal of 221020101000 is 101020122.

221020101000 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 4 ways, for example, as 109125836964 + 111894264036 = 330342^2 + 334506^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12269895 + ... + 12287894.

Almost surely, 2^221020101000 is an apocalyptic number.

221020101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020101000 is an abundant number, since it is smaller than the sum of its proper divisors (526027870800).

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

221020101000 is a wasteful number, since it uses less digits than its factorization.

221020101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24557816 (or 24557799 counting only the distinct ones).

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

Adding to 221020101000 its reverse (101020122), we get a palindrome (221121121122).

The spelling of 221020101000 in words is "two hundred twenty-one billion, twenty million, one hundred one thousand".