221000302100 has 36 divisors (see below), whose sum is σ = 479755035900. Its totient is φ = 88366133760.

The previous prime is 221000302099. The next prime is 221000302129. The reversal of 221000302100 is 1203000122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13907956624 + 207092345476 = 117932^2 + 455074^2 .

It is a super-2 number, since 2×221000302100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162635 + ... + 684434.

It is an arithmetic number, because the mean of its divisors is an integer number (13326528775).

Almost surely, 2^221000302100 is an apocalyptic number.

221000302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000302100 is an abundant number, since it is smaller than the sum of its proper divisors (258754733800).

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

221000302100 is a wasteful number, since it uses less digits than its factorization.

221000302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849692 (or 849685 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 221000302100 its reverse (1203000122), we get a palindrome (222203302222).

The spelling of 221000302100 in words is "two hundred twenty-one billion, three hundred two thousand, one hundred".