221210021000100 has 144 divisors (see below), whose sum is σ = 698251447547136. Its totient is φ = 53624200080000.

The previous prime is 221210021000099. The next prime is 221210021000233. The reversal of 221210021000100 is 1000120012122.

It is a super-3 number, since 3×221210021000100³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70574427 + ... + 73642173.

It is an arithmetic number, because the mean of its divisors is an integer number (4848968385744).

Almost surely, 2^{221210021000100} is an apocalyptic number.

221210021000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221210021000100 is an abundant number, since it is smaller than the sum of its proper divisors (477041426547036).

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

221210021000100 is a wasteful number, since it uses less digits than its factorization.

221210021000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089626 (or 3089619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221210021000100 its reverse (1000120012122), we get a palindrome (222210141012222).

The spelling of 221210021000100 in words is "two hundred twenty-one trillion, two hundred ten billion, twenty-one million, one hundred", and thus it is an aban number.