221111220102100 has 18 divisors (see below), whose sum is σ = 479811347621774. Its totient is φ = 88444488040800.

The previous prime is 221111220102077. The next prime is 221111220102139. The reversal of 221111220102100 is 1201022111122.

It can be written as a sum of positive squares in 3 ways, for example, as 2163917492676 + 218947302609424 = 1471026^2 + 14796868^2 .

It is a super-2 number, since 2×221111220102100² (a number of 29 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 5 ways as a sum of consecutive naturals, for example, 1105556100411 + ... + 1105556100610.

Almost surely, 2^{221111220102100} is an apocalyptic number.

221111220102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221111220102100 is an abundant number, since it is smaller than the sum of its proper divisors (258700127519674).

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

221111220102100 is a wasteful number, since it uses less digits than its factorization.

221111220102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211112201035 (or 2211112201028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221111220102100 its reverse (1201022111122), we get a palindrome (222312242213222).

The spelling of 221111220102100 in words is "two hundred twenty-one trillion, one hundred eleven billion, two hundred twenty million, one hundred two thousand, one hundred".