112211221022100 has 108 divisors (see below), whose sum is σ = 361225780020924. Its totient is φ = 29114262743040.

The previous prime is 112211221022051. The next prime is 112211221022129. The reversal of 112211221022100 is 1220122112211.

112211221022100 is a `hidden beast` number, since 1 + 1 + 221 + 1 + 221 + 0 + 221 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 177717892356 + 112033503129744 = 421566^2 + 10584588^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1684819869 + ... + 1684886468.

Almost surely, 2^{112211221022100} is an apocalyptic number.

112211221022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211221022100 is an abundant number, since it is smaller than the sum of its proper divisors (249014558998824).

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

112211221022100 is a wasteful number, since it uses less digits than its factorization.

112211221022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369706394 (or 3369706384 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112211221022100 its reverse (1220122112211), we get a palindrome (113431343134311).

The spelling of 112211221022100 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred twenty-one million, twenty-two thousand, one hundred".