2221111102100 has 54 divisors (see below), whose sum is σ = 5297808914622. Its totient is φ = 807676760000.

The previous prime is 2221111102027. The next prime is 2221111102109. The reversal of 2221111102100 is 12011111222.

It can be written as a sum of positive squares in 3 ways, for example, as 238771004164 + 1982340097936 = 488642^2 + 1407956^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221111102109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 91769351 + ... + 91793550.

It is an arithmetic number, because the mean of its divisors is an integer number (98107572493).

Almost surely, 2^{2221111102100} is an apocalyptic number.

2221111102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221111102100 is an abundant number, since it is smaller than the sum of its proper divisors (3076697812522).

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

2221111102100 is a wasteful number, since it uses less digits than its factorization.

2221111102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183562937 (or 183562919 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2221111102100 its reverse (12011111222), we get a palindrome (2233122213322).

The spelling of 2221111102100 in words is "two trillion, two hundred twenty-one billion, one hundred eleven million, one hundred two thousand, one hundred".