221020102000100 has 144 divisors (see below), whose sum is σ = 523812623596416. Its totient is φ = 80453275392000.

The previous prime is 221020102000039. The next prime is 221020102000153. The reversal of 221020102000100 is 1000201020122.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1817972315 + ... + 1818093885.

It is an arithmetic number, because the mean of its divisors is an integer number (3637587663864).

Almost surely, 2^{221020102000100} is an apocalyptic number.

221020102000100 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 221020102000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261906311798208).

221020102000100 is an abundant number, since it is smaller than the sum of its proper divisors (302792521596316).

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

221020102000100 is a wasteful number, since it uses less digits than its factorization.

221020102000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141366 (or 141359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221020102000100 its reverse (1000201020122), we get a palindrome (222020303020222).

The spelling of 221020102000100 in words is "two hundred twenty-one trillion, twenty billion, one hundred two million, one hundred", and thus it is an aban number.