221221221102100 has 36 divisors (see below), whose sum is σ = 480070092977244. Its totient is φ = 88484793844480.

The previous prime is 221221221102083. The next prime is 221221221102143. The reversal of 221221221102100 is 1201122122122.

It can be written as a sum of positive squares in 6 ways, for example, as 227487025936 + 220993734076164 = 476956^2 + 14865858^2 .

It is a super-3 number, since 3×221221221102100³ (a number of 44 digits) contains 333 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, 43774777 + ... + 48566176.

It is an arithmetic number, because the mean of its divisors is an integer number (13335280360479).

Almost surely, 2^{221221221102100} is an apocalyptic number.

221221221102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221221102100 is an abundant number, since it is smaller than the sum of its proper divisors (258848871875144).

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

221221221102100 is a wasteful number, since it uses less digits than its factorization.

221221221102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92364924 (or 92364917 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221221221102100 its reverse (1201122122122), we get a palindrome (222422343224222).

The spelling of 221221221102100 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred two thousand, one hundred".