221112212022100 has 108 divisors (see below), whose sum is σ = 558156055530780. Its totient is φ = 75809132851200.

The previous prime is 221112212022011. The next prime is 221112212022113. The reversal of 221112212022100 is 1220212211122.

It can be written as a sum of positive squares in 6 ways, for example, as 594820392516 + 220517391629584 = 771246^2 + 14849828^2 .

It is a super-2 number, since 2×221112212022100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 705350196 + ... + 705663604.

It is an arithmetic number, because the mean of its divisors is an integer number (5168111625285).

Almost surely, 2^{221112212022100} is an apocalyptic number.

221112212022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112212022100 is an abundant number, since it is smaller than the sum of its proper divisors (337043843508680).

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

221112212022100 is a wasteful number, since it uses less digits than its factorization.

221112212022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457418 (or 457404 counting only the distinct ones).

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

Adding to 221112212022100 its reverse (1220212211122), we get a palindrome (222332424233222).

The spelling of 221112212022100 in words is "two hundred twenty-one trillion, one hundred twelve billion, two hundred twelve million, twenty-two thousand, one hundred".