112122101222100 has 216 divisors, whose sum is σ = 352162900881792. Its totient is φ = 29837797516800.

The previous prime is 112122101222081. The next prime is 112122101222113. The reversal of 112122101222100 is 1222101221211.

112122101222100 is a `hidden beast` number, since 1 + 121 + 2 + 210 + 122 + 210 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1937085160 + ... + 1937143040.

Almost surely, 2^{112122101222100} is an apocalyptic number.

112122101222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112122101222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176081450440896).

112122101222100 is an abundant number, since it is smaller than the sum of its proper divisors (240040799659692).

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

112122101222100 is a wasteful number, since it uses less digits than its factorization.

112122101222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62287 (or 62277 counting only the distinct ones).

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

Adding to 112122101222100 its reverse (1222101221211), we get a palindrome (113344202443311).

The spelling of 112122101222100 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand, one hundred".